Question

The fourth proportion of $\frac{1}{2},\frac{1}{3},and \frac{1}{4}$ is

• A. $$\frac{1}{5}$$
• B. $$\frac{1}{6}$$
• C. $$\frac{1}{12}$$
• D. $$\frac{2}{3}$$

Answer 1

Answer:

$$\frac{1}{6}$$

Solution: Given data: First proportion = 1/2 Second proportion = 1/3 Third proportion = 1/4 Concept: If a : b = c : d, then d is called the fourth proportion. Fourth proportion = (Second proportion × Third proportion) / First proportion Solution: Fourth proportion = (1/3 × 1/4) / 1/2 = 1/6 ∴ The fourth proportion is 1/6.