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Finding the Fourth Proportional to 18,651.75, 27,969.41 and 9,884.61

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Solution

The fourth proportional to 18,651.75, 27,969.41 and 9,884.61 is: 14,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,651.75 : 27,969.41 = 9,884.61 : x
  2. Step 2: Convert to fraction form
    18,651.75/27,969.41 = 9,884.61/x
  3. Step 3: Cross multiply
    18,651.75x = 27,969.41 × 9,884.61
  4. Step 4: Simplify right side
    18,651.75x = 276,466,545.22
  5. Step 5: Solve for x
    x = 276,466,545.22/18,651.75
  6. Step 6: Final answer
    x = 14,822.56

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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.