document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=950305>Question 950305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a:b:c is 8:14:22 and b:c:d is 21:33:44 so what is a:b:c:d ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #580242 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=580242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the ratios are:\r<BR>\n" );
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document.write( "first set:\r<BR>\n" );
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document.write( "a = 8<BR>\n" );
document.write( "b = 14<BR>\n" );
document.write( "c = 22<BR>\n" );
document.write( "d = ????\r<BR>\n" );
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document.write( "second set:\r<BR>\n" );
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document.write( "a = ????<BR>\n" );
document.write( "b = 21<BR>\n" );
document.write( "c = 33<BR>\n" );
document.write( "d = 44\r<BR>\n" );
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document.write( "if these ratios are in proportion, then:\r<BR>\n" );
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document.write( "a2/a1 should be equal to b2/b1 should be equal to c2/c1 should be equal to d2/d1\r<BR>\n" );
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document.write( "you have 2 ratios to work from:\r<BR>\n" );
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document.write( "b2/b1 = 21/14 = 1.5\r<BR>\n" );
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document.write( "c2/c2 = 33/22 = 1.5\r<BR>\n" );
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document.write( "looks like the ratios are the same, so the ratios from the first set are probably in proportion to the ratios in the second set.\r<BR>\n" );
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document.write( "in order for that to hold true, then:\r<BR>\n" );
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document.write( "a2/a1 would also have to be equal to 1.5\r<BR>\n" );
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document.write( "d2/d1 would also have to be equal to 1.5\r<BR>\n" );
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document.write( "a2/a1 is equal to a2/8\r<BR>\n" );
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document.write( "for a2/8 to be equal to 1.5, then a2 would have to be equal to 1.5 * 8 = 12.\r<BR>\n" );
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document.write( "d2/d1 is equal to 44/d1\r<BR>\n" );
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document.write( "for d2/d1 to be equal to 1.5, then d1 would have to be equal to 44 / 1.5 = 29 and 1/3.\r<BR>\n" );
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document.write( "the complete ratios for both sets would be:\r<BR>\n" );
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document.write( "first set:\r<BR>\n" );
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document.write( "a:b:c:d = 8:14:22:29 and 1/3\r<BR>\n" );
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document.write( "second set:\r<BR>\n" );
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document.write( "a:b:c:d = 12:21:33:44\r<BR>\n" );
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document.write( "the ratios a2/a1, b2/b1, c2/c1, d2/d1 would all have to be the same, as they are.\r<BR>\n" );
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document.write( "the following ratios would also have to be equal:\r<BR>\n" );
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document.write( "b1/a1 = b2/a2<BR>\n" );
document.write( "c1/b1 = c2/b2<BR>\n" );
document.write( "d1/c1 = d2/c2\r<BR>\n" );
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document.write( "as they are.\r<BR>\n" );
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document.write( "just in case, you didn't catch it,  b1 is b from set 1 and b2 is b from set 2, etc.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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