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Finding the Fourth Proportional to 5,310.80, 7,948.92 and 3,751.76

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Solution

The fourth proportional to 5,310.80, 7,948.92 and 3,751.76 is: 5,615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.80 : 7,948.92 = 3,751.76 : x
  2. Step 2: Convert to fraction form
    5,310.80/7,948.92 = 3,751.76/x
  3. Step 3: Cross multiply
    5,310.80x = 7,948.92 × 3,751.76
  4. Step 4: Simplify right side
    5,310.80x = 29,822,440.10
  5. Step 5: Solve for x
    x = 29,822,440.10/5,310.80
  6. Step 6: Final answer
    x = 5,615.43

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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.