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Finding the Fourth Proportional to 7,167.73, 9,891.13 and 3,981.23

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Solution

The fourth proportional to 7,167.73, 9,891.13 and 3,981.23 is: 5,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.73 : 9,891.13 = 3,981.23 : x
  2. Step 2: Convert to fraction form
    7,167.73/9,891.13 = 3,981.23/x
  3. Step 3: Cross multiply
    7,167.73x = 9,891.13 × 3,981.23
  4. Step 4: Simplify right side
    7,167.73x = 39,378,843.58
  5. Step 5: Solve for x
    x = 39,378,843.58/7,167.73
  6. Step 6: Final answer
    x = 5,493.91

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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.