Question

Check whether the following quantities form a proportion or not:

6, 18, 2, 8

Answer 1

Concept used: Proportion

Step 1: Given four quantities are
6, 18, 2, 8
Four quantities a, b, c and d are said to be in proportion iff
$$\begin{gathered} \frac{\mathrm{a}}{\mathrm{b}}=\frac{\mathrm{c}}{\mathrm{d}} \\ \frac{6}{18}=\frac{2}{8},\mathrm{Check}\mathrm{whether}\mathrm{the}\mathrm{fractions}\mathrm{are}\mathrm{equal}\mathrm{or}\mathrm{not}. \end{gathered}$$

Step 2:

$$\begin{gathered} \frac{6}{18}=\frac{1}{3}\mathrm{and} \\ \frac{2}{8}=\frac{1}{4} \\ \frac{6}{18}\ne \frac{2}{8} \end{gathered}$$

Thus the fraction $\frac{6}{18}\mathrm{and}\frac{2}{8}$ are equal not equal

Step 3: Hence, 6, 18, 2, 8 are not in proportion.