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Finding the Fourth Proportional to 8,489.81, 12,733.31 and 2,250.20

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Solution

The fourth proportional to 8,489.81, 12,733.31 and 2,250.20 is: 3,374.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.81 : 12,733.31 = 2,250.20 : x
  2. Step 2: Convert to fraction form
    8,489.81/12,733.31 = 2,250.20/x
  3. Step 3: Cross multiply
    8,489.81x = 12,733.31 × 2,250.20
  4. Step 4: Simplify right side
    8,489.81x = 28,652,531.62
  5. Step 5: Solve for x
    x = 28,652,531.62/8,489.81
  6. Step 6: Final answer
    x = 3,374.93

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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.