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Finding the Fourth Proportional to 3,857.73, 5,786.64 and 2,549.88

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Solution

The fourth proportional to 3,857.73, 5,786.64 and 2,549.88 is: 3,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.73 : 5,786.64 = 2,549.88 : x
  2. Step 2: Convert to fraction form
    3,857.73/5,786.64 = 2,549.88/x
  3. Step 3: Cross multiply
    3,857.73x = 5,786.64 × 2,549.88
  4. Step 4: Simplify right side
    3,857.73x = 14,755,237.60
  5. Step 5: Solve for x
    x = 14,755,237.60/3,857.73
  6. Step 6: Final answer
    x = 3,824.85

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1.5x scale

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.