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Finding the Fourth Proportional to 3,874.72, 5,811.48 and 3,220.80

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Solution

The fourth proportional to 3,874.72, 5,811.48 and 3,220.80 is: 4,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.72 : 5,811.48 = 3,220.80 : x
  2. Step 2: Convert to fraction form
    3,874.72/5,811.48 = 3,220.80/x
  3. Step 3: Cross multiply
    3,874.72x = 5,811.48 × 3,220.80
  4. Step 4: Simplify right side
    3,874.72x = 18,717,614.78
  5. Step 5: Solve for x
    x = 18,717,614.78/3,874.72
  6. Step 6: Final answer
    x = 4,830.70

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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.