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Finding the Fourth Proportional to 12,323.14, 18,456 and 9,540.86

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Solution

The fourth proportional to 12,323.14, 18,456 and 9,540.86 is: 14,289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.14 : 18,456 = 9,540.86 : x
  2. Step 2: Convert to fraction form
    12,323.14/18,456 = 9,540.86/x
  3. Step 3: Cross multiply
    12,323.14x = 18,456 × 9,540.86
  4. Step 4: Simplify right side
    12,323.14x = 176,086,112.16
  5. Step 5: Solve for x
    x = 176,086,112.16/12,323.14
  6. Step 6: Final answer
    x = 14,289.06

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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.