SOLUTION: If a:b:c is 8:14:22 and b:c:d is 21:33:44 so what is a:b:c:d ?
Algebra.Com
Question 950305: If a:b:c is 8:14:22 and b:c:d is 21:33:44 so what is a:b:c:d ?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the ratios are:
first set:
a = 8
b = 14
c = 22
d = ????
second set:
a = ????
b = 21
c = 33
d = 44
if these ratios are in proportion, then:
a2/a1 should be equal to b2/b1 should be equal to c2/c1 should be equal to d2/d1
you have 2 ratios to work from:
b2/b1 = 21/14 = 1.5
c2/c2 = 33/22 = 1.5
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.
in order for that to hold true, then:
a2/a1 would also have to be equal to 1.5
d2/d1 would also have to be equal to 1.5
a2/a1 is equal to a2/8
for a2/8 to be equal to 1.5, then a2 would have to be equal to 1.5 * 8 = 12.
d2/d1 is equal to 44/d1
for d2/d1 to be equal to 1.5, then d1 would have to be equal to 44 / 1.5 = 29 and 1/3.
the complete ratios for both sets would be:
first set:
a:b:c:d = 8:14:22:29 and 1/3
second set:
a:b:c:d = 12:21:33:44
the ratios a2/a1, b2/b1, c2/c1, d2/d1 would all have to be the same, as they are.
the following ratios would also have to be equal:
b1/a1 = b2/a2
c1/b1 = c2/b2
d1/c1 = d2/c2
as they are.
just in case, you didn't catch it, b1 is b from set 1 and b2 is b from set 2, etc.
RELATED QUESTIONS
i really need help with this one..thank you
Write the proportion 14 is to 22 as 28 is... (answered by Earlsdon,bucky)
If A + B = 3( C + D),what is the average of A,B,C,and D?
(answered by jim_thompson5910)
If A + B + C=27, A + B + C =31, and A + B + E = 38, what is (E - D) - (D -... (answered by josgarithmetic)
If A + B + C=27, A + B + C =31, and A + B + E = 38, what is (E - D) - (D -... (answered by ikleyn)
if a+b+c+d=2001 and b+d=2002, what is the value of... (answered by orca)
If (8^a)(8^b)=8^c/8^d what is d in terms of... (answered by Fombitz)
If a^2 - 2ab + b^2 = 36 and a^2 - 3ab + b^2 = 22 what is the value of ab ?
(A) 6 (B) (answered by palanisamy)
If k >0 and 25x^2 + bx + 16 = (5x - k)^2 , for all values of x, what is the value of k –... (answered by galactus)
a:b=2:5 and a:c=3:7. What is c:b?
A. 5:7
B. 14:15
C. 2:7
D. 15:14
E.... (answered by MathLover1,Edwin McCravy,greenestamps,ikleyn,josgarithmetic)