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Finding the Fourth Proportional to 18,663.90, 27,976.41 and 9,789.54

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Solution

The fourth proportional to 18,663.90, 27,976.41 and 9,789.54 is: 14,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,663.90 : 27,976.41 = 9,789.54 : x
  2. Step 2: Convert to fraction form
    18,663.90/27,976.41 = 9,789.54/x
  3. Step 3: Cross multiply
    18,663.90x = 27,976.41 × 9,789.54
  4. Step 4: Simplify right side
    18,663.90x = 273,876,184.75
  5. Step 5: Solve for x
    x = 273,876,184.75/18,663.90
  6. Step 6: Final answer
    x = 14,674.11

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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.