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Finding the Fourth Proportional to 12,242, 18,306.92 and 9,124.14

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Solution

The fourth proportional to 12,242, 18,306.92 and 9,124.14 is: 13,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,242 : 18,306.92 = 9,124.14 : x
  2. Step 2: Convert to fraction form
    12,242/18,306.92 = 9,124.14/x
  3. Step 3: Cross multiply
    12,242x = 18,306.92 × 9,124.14
  4. Step 4: Simplify right side
    12,242x = 167,034,901.05
  5. Step 5: Solve for x
    x = 167,034,901.05/12,242
  6. Step 6: Final answer
    x = 13,644.41

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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.