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Finding the Fourth Proportional to 28,375.67, 42,568.97 and 9,654.95

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Solution

The fourth proportional to 28,375.67, 42,568.97 and 9,654.95 is: 14,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,375.67 : 42,568.97 = 9,654.95 : x
  2. Step 2: Convert to fraction form
    28,375.67/42,568.97 = 9,654.95/x
  3. Step 3: Cross multiply
    28,375.67x = 42,568.97 × 9,654.95
  4. Step 4: Simplify right side
    28,375.67x = 411,001,015.78
  5. Step 5: Solve for x
    x = 411,001,015.78/28,375.67
  6. Step 6: Final answer
    x = 14,484.28

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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.