# How do you solve the proportion 5/12=x/36?

Feb 12, 2017

See the entire solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{36}$ to solve for $x$:

$\textcolor{red}{36} \times \frac{5}{12} = \textcolor{red}{36} \times \frac{x}{36}$

$\left(3 \times 12\right) \times \frac{5}{12} = \cancel{\textcolor{red}{36}} \times \frac{x}{\textcolor{red}{\cancel{\textcolor{b l a c k}{36}}}}$

$\left(3 \times \textcolor{red}{\cancel{\textcolor{b l a c k}{12}}}\right) \times \frac{5}{\textcolor{red}{\cancel{\textcolor{b l a c k}{12}}}} = x$

$15 = x$

$x = 15$

and

$\frac{5}{12} = \frac{15}{36}$

Feb 12, 2017

$x = 15$

#### Explanation:

Multiply the numerator/denominator of the fraction on the left side by 3. This creates 2 equivalent fractions.

$\Rightarrow \frac{5}{12} \times \frac{3}{3} = \frac{15}{36}$

$\text{now we have } \frac{15}{36} = \frac{x}{36}$

$\Rightarrow x = 15$