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Finding the Fourth Proportional to 3,881.60, 5,811.17 and 3,480.98

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Solution

The fourth proportional to 3,881.60, 5,811.17 and 3,480.98 is: 5,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.60 : 5,811.17 = 3,480.98 : x
  2. Step 2: Convert to fraction form
    3,881.60/5,811.17 = 3,480.98/x
  3. Step 3: Cross multiply
    3,881.60x = 5,811.17 × 3,480.98
  4. Step 4: Simplify right side
    3,881.60x = 20,228,520.09
  5. Step 5: Solve for x
    x = 20,228,520.09/3,881.60
  6. Step 6: Final answer
    x = 5,211.39

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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.