Basic Concepts in Proportion – Part 1

# Basic Concepts in Proportion – Part 1

• Terms used in Proportion
• Summary
• What’s Next?

In the previous segment of Class 6 Maths, we understood the logic behind the proportionality test. Here let us learn about the terms used in proportion.

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## What are the terms used in proportion?

Consider two ratios a : b and c : d, such that ? = ? . Thus, a : b : : c : d.

? ?

Here, a is known as the first term, b is known as the second term, c is known as the third term, and d is known as the fourth term.

The terms a and d are at the extreme ends and hence, known as the extremes. The terms b

and c are in the middle and hence, known as the means.

When the terms a, b, c, and d are in proportion, that is a : b : : c : d, the product of extremes = the product of means. That is, a x d = b x c.

For example,

Consider 6 ??? 3 . ????, 6 = 3 Thus, 6 : 10 : : 3 : 5.

.

10 5 10 5

Hence, 6, 10, 3, and 5 are in proportion. 6 and 5 are the extremes while 10 and 3 are the means. Product of the extremes = 6 x 5 = 30.

Product of the means = 10 x 3 = 30.

Thus, the product of extremes = the product of means.

Summary

 Terms used in Proportion For a : b : : c : d, – a is the first term, b is the second term

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