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Finding the Fourth Proportional to 18,656.60, 27,967.31 and 9,287.76

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Solution

The fourth proportional to 18,656.60, 27,967.31 and 9,287.76 is: 13,922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,656.60 : 27,967.31 = 9,287.76 : x
  2. Step 2: Convert to fraction form
    18,656.60/27,967.31 = 9,287.76/x
  3. Step 3: Cross multiply
    18,656.60x = 27,967.31 × 9,287.76
  4. Step 4: Simplify right side
    18,656.60x = 259,753,476.85
  5. Step 5: Solve for x
    x = 259,753,476.85/18,656.60
  6. Step 6: Final answer
    x = 13,922.88

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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.