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Finding the Fourth Proportional to 3,978.24, 5,489.74 and 2,209.80

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Solution

The fourth proportional to 3,978.24, 5,489.74 and 2,209.80 is: 3,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.24 : 5,489.74 = 2,209.80 : x
  2. Step 2: Convert to fraction form
    3,978.24/5,489.74 = 2,209.80/x
  3. Step 3: Cross multiply
    3,978.24x = 5,489.74 × 2,209.80
  4. Step 4: Simplify right side
    3,978.24x = 12,131,227.45
  5. Step 5: Solve for x
    x = 12,131,227.45/3,978.24
  6. Step 6: Final answer
    x = 3,049.40

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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.