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Finding the Fourth Proportional to 5,147.90, 7,734.17 and 3,302.61

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Solution

The fourth proportional to 5,147.90, 7,734.17 and 3,302.61 is: 4,961.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.90 : 7,734.17 = 3,302.61 : x
  2. Step 2: Convert to fraction form
    5,147.90/7,734.17 = 3,302.61/x
  3. Step 3: Cross multiply
    5,147.90x = 7,734.17 × 3,302.61
  4. Step 4: Simplify right side
    5,147.90x = 25,542,930.67
  5. Step 5: Solve for x
    x = 25,542,930.67/5,147.90
  6. Step 6: Final answer
    x = 4,961.82

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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.