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Finding the Fourth Proportional to 2,449.92, 3,381.12 and 1,401.92

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Solution

The fourth proportional to 2,449.92, 3,381.12 and 1,401.92 is: 1,934.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.92 : 3,381.12 = 1,401.92 : x
  2. Step 2: Convert to fraction form
    2,449.92/3,381.12 = 1,401.92/x
  3. Step 3: Cross multiply
    2,449.92x = 3,381.12 × 1,401.92
  4. Step 4: Simplify right side
    2,449.92x = 4,740,059.75
  5. Step 5: Solve for x
    x = 4,740,059.75/2,449.92
  6. Step 6: Final answer
    x = 1,934.78

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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.