Introduction
This chapter takes us much further and adds to our already existing knowledge about Ratio and Proportion. We will have to use many of the algebraic manipulations learnt earlier, use them with expertise to solve problems in this chapter.
Ratio
Ratio is the numerical relationship between two quantities of the same kind. The first quantity is called the antecedent and the second quantity is called the consequent.
By performing simple operations on ratios, we get compounded ratio, duplicate ratio, triplicate ratio, sub-duplicate ratio and sub-triplicate ratio.
Proportion
a, b, c and d are said to be proportion if a : b = c : d.
a and d are called the extremes, b and c are called the means.
a, b, c and d are called first proportion, second proportion, third proportion and fourth proportion respectively.
Some important results
Important results in proportions are: Invertendo, Alternendo, Componendo, Dividendo and Componendo and Dividendo.
Summary
1. Ratio is the numerical relationship between two quantities of the same kind. The first quantity is called the antecedent and the second quantity is called the consequent.
2. If two ratios are equal, we get four quantities in proportion..
3. If three quantities are in continued proportion, the second quantity is called the mean proportion.
