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Finding the Fourth Proportional to 3,767.86, 5,197.80 and 3,269.80

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Solution

The fourth proportional to 3,767.86, 5,197.80 and 3,269.80 is: 4,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.86 : 5,197.80 = 3,269.80 : x
  2. Step 2: Convert to fraction form
    3,767.86/5,197.80 = 3,269.80/x
  3. Step 3: Cross multiply
    3,767.86x = 5,197.80 × 3,269.80
  4. Step 4: Simplify right side
    3,767.86x = 16,995,766.44
  5. Step 5: Solve for x
    x = 16,995,766.44/3,767.86
  6. Step 6: Final answer
    x = 4,510.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.