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Finding the Fourth Proportional to 5,757.72, 7,945.32 and 3,239.88

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Solution

The fourth proportional to 5,757.72, 7,945.32 and 3,239.88 is: 4,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.72 : 7,945.32 = 3,239.88 : x
  2. Step 2: Convert to fraction form
    5,757.72/7,945.32 = 3,239.88/x
  3. Step 3: Cross multiply
    5,757.72x = 7,945.32 × 3,239.88
  4. Step 4: Simplify right side
    5,757.72x = 25,741,883.36
  5. Step 5: Solve for x
    x = 25,741,883.36/5,757.72
  6. Step 6: Final answer
    x = 4,470.85

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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.