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Finding the Fourth Proportional to 5,757.76, 7,945.38 and 3,239.86

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Solution

The fourth proportional to 5,757.76, 7,945.38 and 3,239.86 is: 4,470.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.76 : 7,945.38 = 3,239.86 : x
  2. Step 2: Convert to fraction form
    5,757.76/7,945.38 = 3,239.86/x
  3. Step 3: Cross multiply
    5,757.76x = 7,945.38 × 3,239.86
  4. Step 4: Simplify right side
    5,757.76x = 25,741,918.85
  5. Step 5: Solve for x
    x = 25,741,918.85/5,757.76
  6. Step 6: Final answer
    x = 4,470.82

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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.