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Finding the Fourth Proportional to 3,977.97, 5,489.49 and 2,209.53

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Solution

The fourth proportional to 3,977.97, 5,489.49 and 2,209.53 is: 3,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.97 : 5,489.49 = 2,209.53 : x
  2. Step 2: Convert to fraction form
    3,977.97/5,489.49 = 2,209.53/x
  3. Step 3: Cross multiply
    3,977.97x = 5,489.49 × 2,209.53
  4. Step 4: Simplify right side
    3,977.97x = 12,129,192.84
  5. Step 5: Solve for x
    x = 12,129,192.84/3,977.97
  6. Step 6: Final answer
    x = 3,049.09

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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.