Finding the Fourth Proportional to 5,920, 8,170.68 and 3,436
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Solution
The fourth proportional to 5,920, 8,170.68 and 3,436 is: 4,742.31
Step by Step Solution
- Step 1: Write the proportion equation
5,920 : 8,170.68 = 3,436 : x - Step 2: Convert to fraction form
5,920/8,170.68 = 3,436/x - Step 3: Cross multiply
5,920x = 8,170.68 × 3,436 - Step 4: Simplify right side
5,920x = 28,074,456.48 - Step 5: Solve for x
x = 28,074,456.48/5,920 - Step 6: Final answer
x = 4,742.31
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.