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Finding the Fourth Proportional to 2,739.66, 3,781.32 and 1,744.71

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Solution

The fourth proportional to 2,739.66, 3,781.32 and 1,744.71 is: 2,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.66 : 3,781.32 = 1,744.71 : x
  2. Step 2: Convert to fraction form
    2,739.66/3,781.32 = 1,744.71/x
  3. Step 3: Cross multiply
    2,739.66x = 3,781.32 × 1,744.71
  4. Step 4: Simplify right side
    2,739.66x = 6,597,286.09
  5. Step 5: Solve for x
    x = 6,597,286.09/2,739.66
  6. Step 6: Final answer
    x = 2,408.07

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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.