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Finding the Fourth Proportional to 8,266, 12,400.80 and 3,649

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Solution

The fourth proportional to 8,266, 12,400.80 and 3,649 is: 5,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266 : 12,400.80 = 3,649 : x
  2. Step 2: Convert to fraction form
    8,266/12,400.80 = 3,649/x
  3. Step 3: Cross multiply
    8,266x = 12,400.80 × 3,649
  4. Step 4: Simplify right side
    8,266x = 45,250,519.20
  5. Step 5: Solve for x
    x = 45,250,519.20/8,266
  6. Step 6: Final answer
    x = 5,474.29

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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.