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Finding the Fourth Proportional to 42,575.88, 63,863.82 and 12,993.87

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Solution

The fourth proportional to 42,575.88, 63,863.82 and 12,993.87 is: 19,490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,575.88 : 63,863.82 = 12,993.87 : x
  2. Step 2: Convert to fraction form
    42,575.88/63,863.82 = 12,993.87/x
  3. Step 3: Cross multiply
    42,575.88x = 63,863.82 × 12,993.87
  4. Step 4: Simplify right side
    42,575.88x = 829,838,174.78
  5. Step 5: Solve for x
    x = 829,838,174.78/42,575.88
  6. Step 6: Final answer
    x = 19,490.81

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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.