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Finding the Fourth Proportional to 2,806.80, 3,868.80 and 2,245.44

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Solution

The fourth proportional to 2,806.80, 3,868.80 and 2,245.44 is: 3,095.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.80 : 3,868.80 = 2,245.44 : x
  2. Step 2: Convert to fraction form
    2,806.80/3,868.80 = 2,245.44/x
  3. Step 3: Cross multiply
    2,806.80x = 3,868.80 × 2,245.44
  4. Step 4: Simplify right side
    2,806.80x = 8,687,158.27
  5. Step 5: Solve for x
    x = 8,687,158.27/2,806.80
  6. Step 6: Final answer
    x = 3,095.04

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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.