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Finding the Fourth Proportional to 8,489.01, 12,733.38 and 2,645.94

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Solution

The fourth proportional to 8,489.01, 12,733.38 and 2,645.94 is: 3,968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.01 : 12,733.38 = 2,645.94 : x
  2. Step 2: Convert to fraction form
    8,489.01/12,733.38 = 2,645.94/x
  3. Step 3: Cross multiply
    8,489.01x = 12,733.38 × 2,645.94
  4. Step 4: Simplify right side
    8,489.01x = 33,691,759.48
  5. Step 5: Solve for x
    x = 33,691,759.48/8,489.01
  6. Step 6: Final answer
    x = 3,968.87

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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.