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Finding the Fourth Proportional to 10,102.97, 15,156.84 and 3,177.47

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Solution

The fourth proportional to 10,102.97, 15,156.84 and 3,177.47 is: 4,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.97 : 15,156.84 = 3,177.47 : x
  2. Step 2: Convert to fraction form
    10,102.97/15,156.84 = 3,177.47/x
  3. Step 3: Cross multiply
    10,102.97x = 15,156.84 × 3,177.47
  4. Step 4: Simplify right side
    10,102.97x = 48,160,404.39
  5. Step 5: Solve for x
    x = 48,160,404.39/10,102.97
  6. Step 6: Final answer
    x = 4,766.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.