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Finding the Fourth Proportional to 3,766.55, 5,655.90 and 2,843.15

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Solution

The fourth proportional to 3,766.55, 5,655.90 and 2,843.15 is: 4,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.55 : 5,655.90 = 2,843.15 : x
  2. Step 2: Convert to fraction form
    3,766.55/5,655.90 = 2,843.15/x
  3. Step 3: Cross multiply
    3,766.55x = 5,655.90 × 2,843.15
  4. Step 4: Simplify right side
    3,766.55x = 16,080,572.09
  5. Step 5: Solve for x
    x = 16,080,572.09/3,766.55
  6. Step 6: Final answer
    x = 4,269.31

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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.