# Math Help - I need help this ratio problem

1. ## I need help this ratio problem

If the ratio of x to y is 3/2 and the ratio of x to z is 7/4, what is the ratio of y to z?

sri

2. Originally Posted by sri340
If the ratio of x to y is 3/2 and the ratio of x to z is 7/4, what is the ratio of y to z?

sri
Solve for y in the first ratio:

$y = \frac{2x}{3}$

Solve for z in the 2nd ratio:

$z = \frac{4x}{7}$

Now take y over z:

$\frac{y}{z} = \frac{2x/3}{4x/7}$

Simplifying gives you $\frac{14x}{12x} = 7/6$