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Finding the Fourth Proportional to 5,747.87, 7,932.47 and 3,391.38

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Solution

The fourth proportional to 5,747.87, 7,932.47 and 3,391.38 is: 4,680.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.87 : 7,932.47 = 3,391.38 : x
  2. Step 2: Convert to fraction form
    5,747.87/7,932.47 = 3,391.38/x
  3. Step 3: Cross multiply
    5,747.87x = 7,932.47 × 3,391.38
  4. Step 4: Simplify right side
    5,747.87x = 26,902,003.15
  5. Step 5: Solve for x
    x = 26,902,003.15/5,747.87
  6. Step 6: Final answer
    x = 4,680.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.