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Finding the Fourth Proportional to 8,608.26, 12,914.80 and 3,414.12

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Solution

The fourth proportional to 8,608.26, 12,914.80 and 3,414.12 is: 5,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,608.26 : 12,914.80 = 3,414.12 : x
  2. Step 2: Convert to fraction form
    8,608.26/12,914.80 = 3,414.12/x
  3. Step 3: Cross multiply
    8,608.26x = 12,914.80 × 3,414.12
  4. Step 4: Simplify right side
    8,608.26x = 44,092,676.98
  5. Step 5: Solve for x
    x = 44,092,676.98/8,608.26
  6. Step 6: Final answer
    x = 5,122.14

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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.