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Finding the Fourth Proportional to 3,786.97, 5,678.02 and 2,486.92

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Solution

The fourth proportional to 3,786.97, 5,678.02 and 2,486.92 is: 3,728.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.97 : 5,678.02 = 2,486.92 : x
  2. Step 2: Convert to fraction form
    3,786.97/5,678.02 = 2,486.92/x
  3. Step 3: Cross multiply
    3,786.97x = 5,678.02 × 2,486.92
  4. Step 4: Simplify right side
    3,786.97x = 14,120,781.50
  5. Step 5: Solve for x
    x = 14,120,781.50/3,786.97
  6. Step 6: Final answer
    x = 3,728.78

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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.