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Finding the Fourth Proportional to 12,139.86, 18,186.46 and 7,446.18

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Solution

The fourth proportional to 12,139.86, 18,186.46 and 7,446.18 is: 11,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.86 : 18,186.46 = 7,446.18 : x
  2. Step 2: Convert to fraction form
    12,139.86/18,186.46 = 7,446.18/x
  3. Step 3: Cross multiply
    12,139.86x = 18,186.46 × 7,446.18
  4. Step 4: Simplify right side
    12,139.86x = 135,419,654.72
  5. Step 5: Solve for x
    x = 135,419,654.72/12,139.86
  6. Step 6: Final answer
    x = 11,154.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.