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Finding the Fourth Proportional to 3,806.80, 5,704.80 and 2,811.85

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Solution

The fourth proportional to 3,806.80, 5,704.80 and 2,811.85 is: 4,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.80 : 5,704.80 = 2,811.85 : x
  2. Step 2: Convert to fraction form
    3,806.80/5,704.80 = 2,811.85/x
  3. Step 3: Cross multiply
    3,806.80x = 5,704.80 × 2,811.85
  4. Step 4: Simplify right side
    3,806.80x = 16,041,041.88
  5. Step 5: Solve for x
    x = 16,041,041.88/3,806.80
  6. Step 6: Final answer
    x = 4,213.79

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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.