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Finding the Fourth Proportional to 39,470.46, 54,469.17 and 21,565.46

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Solution

The fourth proportional to 39,470.46, 54,469.17 and 21,565.46 is: 29,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,470.46 : 54,469.17 = 21,565.46 : x
  2. Step 2: Convert to fraction form
    39,470.46/54,469.17 = 21,565.46/x
  3. Step 3: Cross multiply
    39,470.46x = 54,469.17 × 21,565.46
  4. Step 4: Simplify right side
    39,470.46x = 1,174,652,706.87
  5. Step 5: Solve for x
    x = 1,174,652,706.87/39,470.46
  6. Step 6: Final answer
    x = 29,760.30

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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.