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Finding the Fourth Proportional to 8,489.49, 12,733.41 and 5,200.89

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Solution

The fourth proportional to 8,489.49, 12,733.41 and 5,200.89 is: 7,800.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.49 : 12,733.41 = 5,200.89 : x
  2. Step 2: Convert to fraction form
    8,489.49/12,733.41 = 5,200.89/x
  3. Step 3: Cross multiply
    8,489.49x = 12,733.41 × 5,200.89
  4. Step 4: Simplify right side
    8,489.49x = 66,225,064.73
  5. Step 5: Solve for x
    x = 66,225,064.73/8,489.49
  6. Step 6: Final answer
    x = 7,800.83

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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.