Finding the Fourth Proportional to 5,724, 8,589.24 and 2,646
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Solution
The fourth proportional to 5,724, 8,589.24 and 2,646 is: 3,970.50
Step by Step Solution
- Step 1: Write the proportion equation
5,724 : 8,589.24 = 2,646 : x - Step 2: Convert to fraction form
5,724/8,589.24 = 2,646/x - Step 3: Cross multiply
5,724x = 8,589.24 × 2,646 - Step 4: Simplify right side
5,724x = 22,727,129.04 - Step 5: Solve for x
x = 22,727,129.04/5,724 - Step 6: Final answer
x = 3,970.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.