Question

For four numbers a, b, c, d if a : b = c : d, then a : c = b : d. Which property of proportion is this?

• A. Invertendo
• B. Alternendo
• C. Dividendo
• D. Componendo

Answer 1

The correct option is B

Alternendo

For four numbers a, b, c, d if a : b = c : d, then a : c = b : d. This is the property of alternendo.

Given, a : b = c : d
$\Rightarrow \frac{a}{b}=\frac{c}{d}$
$\Rightarrow \frac{a}{c}=\frac{b}{d}$
$\Rightarrow a:c::b:d$
$\Rightarrow a:c=b:d$