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Finding the Fourth Proportional to 42,961.47, 64,439.64 and 13,375.14

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Solution

The fourth proportional to 42,961.47, 64,439.64 and 13,375.14 is: 20,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,961.47 : 64,439.64 = 13,375.14 : x
  2. Step 2: Convert to fraction form
    42,961.47/64,439.64 = 13,375.14/x
  3. Step 3: Cross multiply
    42,961.47x = 64,439.64 × 13,375.14
  4. Step 4: Simplify right side
    42,961.47x = 861,889,206.55
  5. Step 5: Solve for x
    x = 861,889,206.55/42,961.47
  6. Step 6: Final answer
    x = 20,061.91

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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.