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Finding the Fourth Proportional to 2,822.92, 3,891.90 and 2,732.20

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Solution

The fourth proportional to 2,822.92, 3,891.90 and 2,732.20 is: 3,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.92 : 3,891.90 = 2,732.20 : x
  2. Step 2: Convert to fraction form
    2,822.92/3,891.90 = 2,732.20/x
  3. Step 3: Cross multiply
    2,822.92x = 3,891.90 × 2,732.20
  4. Step 4: Simplify right side
    2,822.92x = 10,633,449.18
  5. Step 5: Solve for x
    x = 10,633,449.18/2,822.92
  6. Step 6: Final answer
    x = 3,766.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.