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Finding the Fourth Proportional to 3,978.06, 5,489.64 and 2,209.56

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Solution

The fourth proportional to 3,978.06, 5,489.64 and 2,209.56 is: 3,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.06 : 5,489.64 = 2,209.56 : x
  2. Step 2: Convert to fraction form
    3,978.06/5,489.64 = 2,209.56/x
  3. Step 3: Cross multiply
    3,978.06x = 5,489.64 × 2,209.56
  4. Step 4: Simplify right side
    3,978.06x = 12,129,688.96
  5. Step 5: Solve for x
    x = 12,129,688.96/3,978.06
  6. Step 6: Final answer
    x = 3,049.15

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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.