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Finding the Fourth Proportional to 2,882.27, 3,984.60 and 2,855.95

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Solution

The fourth proportional to 2,882.27, 3,984.60 and 2,855.95 is: 3,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.27 : 3,984.60 = 2,855.95 : x
  2. Step 2: Convert to fraction form
    2,882.27/3,984.60 = 2,855.95/x
  3. Step 3: Cross multiply
    2,882.27x = 3,984.60 × 2,855.95
  4. Step 4: Simplify right side
    2,882.27x = 11,379,819.12
  5. Step 5: Solve for x
    x = 11,379,819.12/2,882.27
  6. Step 6: Final answer
    x = 3,948.21

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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.