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Finding the Fourth Proportional to 34,854, 52,251.60 and 15,117.69

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Solution

The fourth proportional to 34,854, 52,251.60 and 15,117.69 is: 22,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,854 : 52,251.60 = 15,117.69 : x
  2. Step 2: Convert to fraction form
    34,854/52,251.60 = 15,117.69/x
  3. Step 3: Cross multiply
    34,854x = 52,251.60 × 15,117.69
  4. Step 4: Simplify right side
    34,854x = 789,923,490.80
  5. Step 5: Solve for x
    x = 789,923,490.80/34,854
  6. Step 6: Final answer
    x = 22,663.78

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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.