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Finding the Fourth Proportional to 3,978.16, 5,489.60 and 2,209.84

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Solution

The fourth proportional to 3,978.16, 5,489.60 and 2,209.84 is: 3,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.16 : 5,489.60 = 2,209.84 : x
  2. Step 2: Convert to fraction form
    3,978.16/5,489.60 = 2,209.84/x
  3. Step 3: Cross multiply
    3,978.16x = 5,489.60 × 2,209.84
  4. Step 4: Simplify right side
    3,978.16x = 12,131,137.66
  5. Step 5: Solve for x
    x = 12,131,137.66/3,978.16
  6. Step 6: Final answer
    x = 3,049.43

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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.