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Finding the Fourth Proportional to 3,906.74, 5,849.78 and 2,738.18

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Solution

The fourth proportional to 3,906.74, 5,849.78 and 2,738.18 is: 4,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.74 : 5,849.78 = 2,738.18 : x
  2. Step 2: Convert to fraction form
    3,906.74/5,849.78 = 2,738.18/x
  3. Step 3: Cross multiply
    3,906.74x = 5,849.78 × 2,738.18
  4. Step 4: Simplify right side
    3,906.74x = 16,017,707.66
  5. Step 5: Solve for x
    x = 16,017,707.66/3,906.74
  6. Step 6: Final answer
    x = 4,100.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.