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Finding the Fourth Proportional to 18,321.87, 27,486.47 and 7,791.83

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Solution

The fourth proportional to 18,321.87, 27,486.47 and 7,791.83 is: 11,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,321.87 : 27,486.47 = 7,791.83 : x
  2. Step 2: Convert to fraction form
    18,321.87/27,486.47 = 7,791.83/x
  3. Step 3: Cross multiply
    18,321.87x = 27,486.47 × 7,791.83
  4. Step 4: Simplify right side
    18,321.87x = 214,169,901.54
  5. Step 5: Solve for x
    x = 214,169,901.54/18,321.87
  6. Step 6: Final answer
    x = 11,689.30

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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.