SOLUTION: The ratio of x to y is 4:9 and the ratio of y to z is 18:15, what is the ratio of x to z?

Question 1108986: The ratio of x to y is 4:9 and the ratio of y to z is 18:15, what is the ratio of x to z?
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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= = = .

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

While the algebraic method shown by the other tutor is perfectly good, I find it a bit confusing to do it that way, finding it easy to get the wrong numbers in the wrong places.

Here is how I like to do problems like this....

Since we are given the ratio of x to y and the ratio of y to z, if we can change one or both of the given ratios to equivalent ratios such that the y value is the same in both, then we can easily find the ratio of x to z.

Since the y value in the first ratio is 9 and it is 18 in the second ratio, we can double both numbers in the first ratio to make y equal to 18 in both ratios. Then the compound ratio will show us the ratio between x and z.

x:y = 4:9 = 8:18
y:z = 18:15

Therefore
x:y:z = 8:18:15

So
x:z = 8:15
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