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Finding the Fourth Proportional to 12,663.88, 18,976.20 and 9,540.52

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Solution

The fourth proportional to 12,663.88, 18,976.20 and 9,540.52 is: 14,296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.88 : 18,976.20 = 9,540.52 : x
  2. Step 2: Convert to fraction form
    12,663.88/18,976.20 = 9,540.52/x
  3. Step 3: Cross multiply
    12,663.88x = 18,976.20 × 9,540.52
  4. Step 4: Simplify right side
    12,663.88x = 181,042,815.62
  5. Step 5: Solve for x
    x = 181,042,815.62/12,663.88
  6. Step 6: Final answer
    x = 14,296.00

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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.