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Finding the Fourth Proportional to 6,866.11, 9,475.13 and 3,881.85

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Solution

The fourth proportional to 6,866.11, 9,475.13 and 3,881.85 is: 5,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.11 : 9,475.13 = 3,881.85 : x
  2. Step 2: Convert to fraction form
    6,866.11/9,475.13 = 3,881.85/x
  3. Step 3: Cross multiply
    6,866.11x = 9,475.13 × 3,881.85
  4. Step 4: Simplify right side
    6,866.11x = 36,781,033.39
  5. Step 5: Solve for x
    x = 36,781,033.39/6,866.11
  6. Step 6: Final answer
    x = 5,356.90

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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.