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Finding the Fourth Proportional to 3,978.08, 5,489.49 and 2,209.56

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Solution

The fourth proportional to 3,978.08, 5,489.49 and 2,209.56 is: 3,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.08 : 5,489.49 = 2,209.56 : x
  2. Step 2: Convert to fraction form
    3,978.08/5,489.49 = 2,209.56/x
  3. Step 3: Cross multiply
    3,978.08x = 5,489.49 × 2,209.56
  4. Step 4: Simplify right side
    3,978.08x = 12,129,357.52
  5. Step 5: Solve for x
    x = 12,129,357.52/3,978.08
  6. Step 6: Final answer
    x = 3,049.05

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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.