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Finding the Fourth Proportional to 8,939.85, 13,414.32 and 3,678.90

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Solution

The fourth proportional to 8,939.85, 13,414.32 and 3,678.90 is: 5,520.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939.85 : 13,414.32 = 3,678.90 : x
  2. Step 2: Convert to fraction form
    8,939.85/13,414.32 = 3,678.90/x
  3. Step 3: Cross multiply
    8,939.85x = 13,414.32 × 3,678.90
  4. Step 4: Simplify right side
    8,939.85x = 49,349,941.85
  5. Step 5: Solve for x
    x = 49,349,941.85/8,939.85
  6. Step 6: Final answer
    x = 5,520.22

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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.