Question

Use algebra to solve the proportion.

$\frac{x}{4}=\frac{13}{2}$

Short answer

The solution is $x=26$.

Step-by-step solution

Step-1 – Given

The given proportion is$\frac{x}{4}=\frac{13}{2}.$

Step-2 – To determine

We have to solve the proportion by using algebra.

Step-3 – Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{x}{4}=\frac{13}{2}\\ \frac{x}{4}\cdot 4=\frac{13}{2}\cdot 4\left[\text{multiplyeachsideby4}\right]\\ x=\frac{52}{2}\left[\text{simplify}\right]\\ x=26\left[\text{divide}\right]\end{array}$

So, the solution is $x=26$.