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Finding the Fourth Proportional to 7,167.85, 9,891.31 and 3,981.36

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Solution

The fourth proportional to 7,167.85, 9,891.31 and 3,981.36 is: 5,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.85 : 9,891.31 = 3,981.36 : x
  2. Step 2: Convert to fraction form
    7,167.85/9,891.31 = 3,981.36/x
  3. Step 3: Cross multiply
    7,167.85x = 9,891.31 × 3,981.36
  4. Step 4: Simplify right side
    7,167.85x = 39,380,805.21
  5. Step 5: Solve for x
    x = 39,380,805.21/7,167.85
  6. Step 6: Final answer
    x = 5,494.09

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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.