Question

Solve the proportion$\frac{x}{56}=\frac{7}{8}$.

Short answer

The required solution is$x=49$.

Step-by-step solution

Given information

The proportion is given as$\frac{x}{56}=\frac{7}{8}$to find the solution.

Find the solution

Apply the algebraic operations to find the solution of the proportion.

• Multiply 56 into both sides of the given equation to find the required solution.

$\begin{array}{rcl}\frac{x}{56}& =& \frac{7}{8}\\ \frac{x}{56}\times 56& =& \frac{7}{8}\times 56\\ x& =& 7\times 7\\ x& =& 49\end{array}$