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If x and y are in the ratio 3 to 4, and y and z are in the ratio 3 to 4 then what is the ratio of x to z?

1 Answer

Sep 11, 2017

$x : z = 9 : 16$ $x:z = 9:16$

Explanation:

We have:

$x : y = 3 : 4 \Rightarrow \frac{x}{y} = \frac{3}{4}$ $x:y = 3:4 => x/y = 3/4$

$y : z = 3 : 4 \Rightarrow \frac{y}{z} = \frac{3}{4}$ $y:z = 3:4 => y/z = 3/4$

We seek:

$x : z$ $x:z$

$\frac{x}{z} = \frac{x}{z} \times \frac{y}{y}$ $x/z = x/z xx y/y$

$\ \ \ \ = x/y xx y/z$

$\ \ \ \ = 3/4 xx 3/4$

$\ \ \ \ = 9/16$

Hence:

$x:z = 9:16$

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