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Finding the Fourth Proportional to 57,513, 86,269.50 and 15,960

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Solution

The fourth proportional to 57,513, 86,269.50 and 15,960 is: 23,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513 : 86,269.50 = 15,960 : x
  2. Step 2: Convert to fraction form
    57,513/86,269.50 = 15,960/x
  3. Step 3: Cross multiply
    57,513x = 86,269.50 × 15,960
  4. Step 4: Simplify right side
    57,513x = 1,376,861,220
  5. Step 5: Solve for x
    x = 1,376,861,220/57,513
  6. Step 6: Final answer
    x = 23,940

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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.