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Finding the Fourth Proportional to 8,489.70, 12,734.28 and 4,107.60

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Solution

The fourth proportional to 8,489.70, 12,734.28 and 4,107.60 is: 6,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.70 : 12,734.28 = 4,107.60 : x
  2. Step 2: Convert to fraction form
    8,489.70/12,734.28 = 4,107.60/x
  3. Step 3: Cross multiply
    8,489.70x = 12,734.28 × 4,107.60
  4. Step 4: Simplify right side
    8,489.70x = 52,307,328.53
  5. Step 5: Solve for x
    x = 52,307,328.53/8,489.70
  6. Step 6: Final answer
    x = 6,161.27

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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.