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Finding the Fourth Proportional to 8,469.80, 12,706.05 and 3,536.90

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Solution

The fourth proportional to 8,469.80, 12,706.05 and 3,536.90 is: 5,305.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.80 : 12,706.05 = 3,536.90 : x
  2. Step 2: Convert to fraction form
    8,469.80/12,706.05 = 3,536.90/x
  3. Step 3: Cross multiply
    8,469.80x = 12,706.05 × 3,536.90
  4. Step 4: Simplify right side
    8,469.80x = 44,940,028.25
  5. Step 5: Solve for x
    x = 44,940,028.25/8,469.80
  6. Step 6: Final answer
    x = 5,305.91

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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.