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Finding the Fourth Proportional to 57,500, 86,250 and 15,947

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Solution

The fourth proportional to 57,500, 86,250 and 15,947 is: 23,920.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,500 : 86,250 = 15,947 : x
  2. Step 2: Convert to fraction form
    57,500/86,250 = 15,947/x
  3. Step 3: Cross multiply
    57,500x = 86,250 × 15,947
  4. Step 4: Simplify right side
    57,500x = 1,375,428,750
  5. Step 5: Solve for x
    x = 1,375,428,750/57,500
  6. Step 6: Final answer
    x = 23,920.50

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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.