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Welcome to our Math lesson on Calculating the n-th Proportional in a Set of Numbers, this is the second lesson of our suite of math lessons covering the topic of Properties of Proportion. Geometric Mean, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Calculating the n-th Proportional in a Set of Numbers
We already know that one of the forms of expressing a proportion is
a/b = c/d = e/f = ⋯
Usually we limit to the first four terms: a, b, c and d in most situations. Sometimes one of these terms is missing, so we have to find it. We call the missing term the n-th proportional of the number set given in the proportion. Thus, if a is missing, it is called the first proportional, when b is missing, we say it is the second proportional and so on.
Example 8
What is the fourth proportional of 2, 3 and 4?
Solution 8
We have a = 2, b = 3, c = 4 and d is missing. Thus, we have
a/b = c/d
2/3 = 4/d
Applying the cross product, we obtain
2 × d = 3 × 4
2 × d = 12
d = 12/2
d = 6
More Properties of Proportion. Geometric Mean Lessons and Learning Resources
Ratio and Proportion Learning Material| Tutorial ID | Math Tutorial Title | Tutorial | Video
Tutorial | Revision
Notes | Revision
Questions |
|---|
| 4.4 | Properties of Proportion. Geometric Mean | | | | |
| Lesson ID | Math Lesson Title | Lesson | Video
Lesson |
|---|
| 4.4.1 | Properties of Proportion | | |
| 4.4.2 | Calculating the n-th Proportional in a Set of Numbers | | |
| 4.4.3 | The Geometric Mean | | |
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- Continuing learning ratio and proportion - read our next math tutorial: Variation. Types of Variation
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