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Finding the Fourth Proportional to 8,489.14, 12,747.04 and 7,189.93

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Solution

The fourth proportional to 8,489.14, 12,747.04 and 7,189.93 is: 10,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.14 : 12,747.04 = 7,189.93 : x
  2. Step 2: Convert to fraction form
    8,489.14/12,747.04 = 7,189.93/x
  3. Step 3: Cross multiply
    8,489.14x = 12,747.04 × 7,189.93
  4. Step 4: Simplify right side
    8,489.14x = 91,650,251.56
  5. Step 5: Solve for x
    x = 91,650,251.56/8,489.14
  6. Step 6: Final answer
    x = 10,796.17

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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.