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Finding the Fourth Proportional to 8,034.40, 12,049.71 and 2,189.62

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Solution

The fourth proportional to 8,034.40, 12,049.71 and 2,189.62 is: 3,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.40 : 12,049.71 = 2,189.62 : x
  2. Step 2: Convert to fraction form
    8,034.40/12,049.71 = 2,189.62/x
  3. Step 3: Cross multiply
    8,034.40x = 12,049.71 × 2,189.62
  4. Step 4: Simplify right side
    8,034.40x = 26,384,286.01
  5. Step 5: Solve for x
    x = 26,384,286.01/8,034.40
  6. Step 6: Final answer
    x = 3,283.91

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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.