The Test for Proportionality

# The Test for Proportionality

• Test for Proportionality
• Summary
• What’s Next?

In the previous segment of Class 6 Maths, we were introduced to Proportion. Here let us learn about Test for proportionality.

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## What is the Test for proportionality?

The Proportionality test is used to check whether two ratios are in proportion or not.

To check whether two ratios a : b and c : d, are in proportion or not, multiply the numerator of the first ratio with the denominator of the second ratio, that is a x d and the denominator of the first ratio with the numerator of the second ratio, that is b x c.

If a x d = b x c, then the ratios a : b and c : d are said to be in proportion. That is, a : b : : c :

d.

For example,

• Consider two ratios, 3 : 5 and 9 : 15

Here, 3 x 15 = 45 and 5 x 9 = 45

Thus, 3 x 15 = 5 x 9.

Hence, 3 : 5 and 9 : 15 are in proportion.

That is, 3 : 5 : : 9 : 15.

• Consider two ratios, 1 : 3 and 5 : 14 Here, 1 x 14 = 14 and 3 x 5 = 15.

Thus, 1 x 14 ≠ 3 x 5.

Hence, 1 : 3 and 5 : 14 are not in proportion.

Summary

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