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Finding the Fourth Proportional to 42,571.62, 63,872 and 16,283.88

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Solution

The fourth proportional to 42,571.62, 63,872 and 16,283.88 is: 24,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,571.62 : 63,872 = 16,283.88 : x
  2. Step 2: Convert to fraction form
    42,571.62/63,872 = 16,283.88/x
  3. Step 3: Cross multiply
    42,571.62x = 63,872 × 16,283.88
  4. Step 4: Simplify right side
    42,571.62x = 1,040,083,983.36
  5. Step 5: Solve for x
    x = 1,040,083,983.36/42,571.62
  6. Step 6: Final answer
    x = 24,431.39

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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.