Question

Check whether the following quantities form a proportion or not:
5, 25, 16, 80

Answer 1

Step 1: Check proportionality of given quantities.

Given four quantities are
5, 25, 16, 80
Four quantities a, b, c and d are said to be in proportion iff
$$\begin{gathered} \frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{c}}{\mathrm{d}} \\ \mathrm{now}, \\ \frac{5}{25}=\frac{16}{80} \end{gathered}$$

$$\begin{gathered} \frac{5}{25}=\frac{1}{5} \\ \frac{16}{80}=\frac{1}{5} \end{gathered}$$

Thus the fractions $\frac{5}{25}\mathrm{and}\frac{16}{80}$are equal.

Hence, 5, 25, 16, 80 are in proportion.