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Finding the Fourth Proportional to 3,978.16, 5,489.24 and 2,209.76

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Solution

The fourth proportional to 3,978.16, 5,489.24 and 2,209.76 is: 3,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.16 : 5,489.24 = 2,209.76 : x
  2. Step 2: Convert to fraction form
    3,978.16/5,489.24 = 2,209.76/x
  3. Step 3: Cross multiply
    3,978.16x = 5,489.24 × 2,209.76
  4. Step 4: Simplify right side
    3,978.16x = 12,129,902.98
  5. Step 5: Solve for x
    x = 12,129,902.98/3,978.16
  6. Step 6: Final answer
    x = 3,049.12

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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.