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Finding the Fourth Proportional to 3,861.74, 5,801.86 and 2,477.78

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Solution

The fourth proportional to 3,861.74, 5,801.86 and 2,477.78 is: 3,722.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.74 : 5,801.86 = 2,477.78 : x
  2. Step 2: Convert to fraction form
    3,861.74/5,801.86 = 2,477.78/x
  3. Step 3: Cross multiply
    3,861.74x = 5,801.86 × 2,477.78
  4. Step 4: Simplify right side
    3,861.74x = 14,375,732.67
  5. Step 5: Solve for x
    x = 14,375,732.67/3,861.74
  6. Step 6: Final answer
    x = 3,722.61

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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.