# What is the solution to the proportion 32/40 = x/15?

May 5, 2015

The answer is $x = 12$ .

Solve $\frac{32}{40} = \frac{x}{15}$ .

Reduce $\frac{32}{40}$ to $\frac{4}{5}$ by dividing the numerator and denominator by $8$.

$\frac{4}{5} = \frac{x}{15}$

Cross multiply.

$5 \cdot x = 4 \cdot 15$ =

$5 x = 60$

Divide both sides by $5$.

$\frac{\cancel{5}}{\cancel{5}} x = \frac{60}{5}$ =

$x = 12$