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Finding the Fourth Proportional to 40,342, 60,513 and 12,640

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Solution

The fourth proportional to 40,342, 60,513 and 12,640 is: 18,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,342 : 60,513 = 12,640 : x
  2. Step 2: Convert to fraction form
    40,342/60,513 = 12,640/x
  3. Step 3: Cross multiply
    40,342x = 60,513 × 12,640
  4. Step 4: Simplify right side
    40,342x = 764,884,320
  5. Step 5: Solve for x
    x = 764,884,320/40,342
  6. Step 6: Final answer
    x = 18,960

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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.