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Finding the Fourth Proportional to 3,977.80, 5,489.13 and 2,209.30

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Solution

The fourth proportional to 3,977.80, 5,489.13 and 2,209.30 is: 3,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.80 : 5,489.13 = 2,209.30 : x
  2. Step 2: Convert to fraction form
    3,977.80/5,489.13 = 2,209.30/x
  3. Step 3: Cross multiply
    3,977.80x = 5,489.13 × 2,209.30
  4. Step 4: Simplify right side
    3,977.80x = 12,127,134.91
  5. Step 5: Solve for x
    x = 12,127,134.91/3,977.80
  6. Step 6: Final answer
    x = 3,048.70

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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.