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Finding the Fourth Proportional to 3,977.92, 5,489.52 and 2,209.52

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Solution

The fourth proportional to 3,977.92, 5,489.52 and 2,209.52 is: 3,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.92 : 5,489.52 = 2,209.52 : x
  2. Step 2: Convert to fraction form
    3,977.92/5,489.52 = 2,209.52/x
  3. Step 3: Cross multiply
    3,977.92x = 5,489.52 × 2,209.52
  4. Step 4: Simplify right side
    3,977.92x = 12,129,204.23
  5. Step 5: Solve for x
    x = 12,129,204.23/3,977.92
  6. Step 6: Final answer
    x = 3,049.13

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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.