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Finding the Fourth Proportional to 3,949.99, 5,449.76 and 2,270.78

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Solution

The fourth proportional to 3,949.99, 5,449.76 and 2,270.78 is: 3,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.99 : 5,449.76 = 2,270.78 : x
  2. Step 2: Convert to fraction form
    3,949.99/5,449.76 = 2,270.78/x
  3. Step 3: Cross multiply
    3,949.99x = 5,449.76 × 2,270.78
  4. Step 4: Simplify right side
    3,949.99x = 12,375,206.01
  5. Step 5: Solve for x
    x = 12,375,206.01/3,949.99
  6. Step 6: Final answer
    x = 3,132.97

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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.