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Finding the Fourth Proportional to 3,786.87, 5,676.09 and 2,859.42

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Solution

The fourth proportional to 3,786.87, 5,676.09 and 2,859.42 is: 4,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.87 : 5,676.09 = 2,859.42 : x
  2. Step 2: Convert to fraction form
    3,786.87/5,676.09 = 2,859.42/x
  3. Step 3: Cross multiply
    3,786.87x = 5,676.09 × 2,859.42
  4. Step 4: Simplify right side
    3,786.87x = 16,230,325.27
  5. Step 5: Solve for x
    x = 16,230,325.27/3,786.87
  6. Step 6: Final answer
    x = 4,285.95

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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.