Q. 2 QC - Algebra 1

Question

Solve each proportion.

$\frac{5}{12}\mathbf{=}\frac{\mathbf{x}}{36}$

Step-by-Step Solution

Answer

The solution of given proportion is $\mathit{x}\mathbf{=}\mathbf{5}$.

Step 1. Means-Extremes Property of proportion

If $\frac{p}{q}=\frac{r}{s}$ and $q,s\ne 0$ then $ps=qr$.

Step 2. Cross product.

Find the cross products

$\begin{array}{c}5\left(36\right)=12\left(x\right)\\ 180=12x\end{array}$

Step 3. Divide.

Divide each side of the obtained equation by 12.

$\begin{array}{c}\frac{180}{12}=\frac{12x}{12}\\ x=5\end{array}$

Therefore, the solution of given proportion is $x=5$.