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Finding the Fourth Proportional to 6,642.57, 9,963.87 and 2,693.88

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Solution

The fourth proportional to 6,642.57, 9,963.87 and 2,693.88 is: 4,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.57 : 9,963.87 = 2,693.88 : x
  2. Step 2: Convert to fraction form
    6,642.57/9,963.87 = 2,693.88/x
  3. Step 3: Cross multiply
    6,642.57x = 9,963.87 × 2,693.88
  4. Step 4: Simplify right side
    6,642.57x = 26,841,470.12
  5. Step 5: Solve for x
    x = 26,841,470.12/6,642.57
  6. Step 6: Final answer
    x = 4,040.83

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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.