Q. 4 QC - Algebra 1

Question

Solve each proportion.

$\frac{5}{\mathbf{x}}\mathbf{=}\frac{10}{4}$

Step-by-Step Solution

Answer

The solution of given proportion is $\mathit{x}\mathbf{=}\mathbf{2}$.

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.

$\begin{array}{c}5\left(4\right)=x\left(10\right)\\ 20=10x\end{array}$

Step 3. Divide.

Divide each side of the obtained equation by 10.

$\begin{array}{c}\frac{20}{10}=\frac{10x}{10}\\ x=2\end{array}$

Therefore, the solution of given proportion is $x=2$.