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Finding the Fourth Proportional to 5,757.56, 7,945.26 and 3,239.81

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Solution

The fourth proportional to 5,757.56, 7,945.26 and 3,239.81 is: 4,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.56 : 7,945.26 = 3,239.81 : x
  2. Step 2: Convert to fraction form
    5,757.56/7,945.26 = 3,239.81/x
  3. Step 3: Cross multiply
    5,757.56x = 7,945.26 × 3,239.81
  4. Step 4: Simplify right side
    5,757.56x = 25,741,132.80
  5. Step 5: Solve for x
    x = 25,741,132.80/5,757.56
  6. Step 6: Final answer
    x = 4,470.84

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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.