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Finding the Fourth Proportional to 3,864.74, 5,786.81 and 2,634.56

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Solution

The fourth proportional to 3,864.74, 5,786.81 and 2,634.56 is: 3,944.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.74 : 5,786.81 = 2,634.56 : x
  2. Step 2: Convert to fraction form
    3,864.74/5,786.81 = 2,634.56/x
  3. Step 3: Cross multiply
    3,864.74x = 5,786.81 × 2,634.56
  4. Step 4: Simplify right side
    3,864.74x = 15,245,698.15
  5. Step 5: Solve for x
    x = 15,245,698.15/3,864.74
  6. Step 6: Final answer
    x = 3,944.82

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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.