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Finding the Fourth Proportional to 42,294, 63,438.60 and 12,711.24

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Solution

The fourth proportional to 42,294, 63,438.60 and 12,711.24 is: 19,066.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,294 : 63,438.60 = 12,711.24 : x
  2. Step 2: Convert to fraction form
    42,294/63,438.60 = 12,711.24/x
  3. Step 3: Cross multiply
    42,294x = 63,438.60 × 12,711.24
  4. Step 4: Simplify right side
    42,294x = 806,383,269.86
  5. Step 5: Solve for x
    x = 806,383,269.86/42,294
  6. Step 6: Final answer
    x = 19,066.14

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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.