Solve the proportion equation.

StartFraction 4 Over Upper P EndFraction equals StartFraction 12 Over 5 EndFraction4P=125

To solve the proportion equation:

\[
\frac{4}{P} = \frac{12}{5}
\]

We can solve this by cross-multiplying. Cross-multiplication involves multiplying the numerator of each fraction by the denominator of the other. Here's the step-by-step process:

1. Cross-multiply:
\[
4 \times 5 = P \times 12
\]
2. Simplify:
\[
20 = 12P
\]
3. Solve for \( P \) by dividing both sides by 12:
\[
P = \frac{20}{12} = \frac{5}{3}
\]

Thus, the solution is:

\[
P = \frac{5}{3}
\]

Would you like more details on any step or have any other questions?

Here are 5 related questions to explore this concept further:
1. What is the general process for solving proportions?
2. How can we verify the solution to a proportion?
3. What happens if one of the values in the proportion is a variable?
4. How do you solve proportions involving decimals or fractions?
5. Can you solve proportions where both sides have complex expressions?

**Tip:** Always simplify both sides of a proportion before solving; it can make the equation easier to work with.

Solve the proportion equation: \( \frac{4}{P} = \frac{12}{5} \)

Learn how to solve the proportion equation 4/P = 12/5 with a step-by-step guide using cross-multiplication. This algebra problem demonstrates how to find the value of a variable in a proportion and is ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation