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Finding the Fourth Proportional to 3,179.64, 4,772.20 and 2,766.85

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Solution

The fourth proportional to 3,179.64, 4,772.20 and 2,766.85 is: 4,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.64 : 4,772.20 = 2,766.85 : x
  2. Step 2: Convert to fraction form
    3,179.64/4,772.20 = 2,766.85/x
  3. Step 3: Cross multiply
    3,179.64x = 4,772.20 × 2,766.85
  4. Step 4: Simplify right side
    3,179.64x = 13,203,961.57
  5. Step 5: Solve for x
    x = 13,203,961.57/3,179.64
  6. Step 6: Final answer
    x = 4,152.66

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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.