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Finding the Fourth Proportional to 6,642.45, 9,950.92 and 3,711.87

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Solution

The fourth proportional to 6,642.45, 9,950.92 and 3,711.87 is: 5,560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.45 : 9,950.92 = 3,711.87 : x
  2. Step 2: Convert to fraction form
    6,642.45/9,950.92 = 3,711.87/x
  3. Step 3: Cross multiply
    6,642.45x = 9,950.92 × 3,711.87
  4. Step 4: Simplify right side
    6,642.45x = 36,936,512.14
  5. Step 5: Solve for x
    x = 36,936,512.14/6,642.45
  6. Step 6: Final answer
    x = 5,560.68

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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.