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Finding the Fourth Proportional to 8,145.69, 12,209.07 and 3,753.90

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Solution

The fourth proportional to 8,145.69, 12,209.07 and 3,753.90 is: 5,626.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.69 : 12,209.07 = 3,753.90 : x
  2. Step 2: Convert to fraction form
    8,145.69/12,209.07 = 3,753.90/x
  3. Step 3: Cross multiply
    8,145.69x = 12,209.07 × 3,753.90
  4. Step 4: Simplify right side
    8,145.69x = 45,831,627.87
  5. Step 5: Solve for x
    x = 45,831,627.87/8,145.69
  6. Step 6: Final answer
    x = 5,626.49

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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.