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Finding the Fourth Proportional to 10,311, 15,469.14 and 3,385.56

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Solution

The fourth proportional to 10,311, 15,469.14 and 3,385.56 is: 5,079.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311 : 15,469.14 = 3,385.56 : x
  2. Step 2: Convert to fraction form
    10,311/15,469.14 = 3,385.56/x
  3. Step 3: Cross multiply
    10,311x = 15,469.14 × 3,385.56
  4. Step 4: Simplify right side
    10,311x = 52,371,701.62
  5. Step 5: Solve for x
    x = 52,371,701.62/10,311
  6. Step 6: Final answer
    x = 5,079.21

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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.