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Finding the Fourth Proportional to 3,685.72, 5,086.24 and 2,194.80

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Solution

The fourth proportional to 3,685.72, 5,086.24 and 2,194.80 is: 3,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.72 : 5,086.24 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    3,685.72/5,086.24 = 2,194.80/x
  3. Step 3: Cross multiply
    3,685.72x = 5,086.24 × 2,194.80
  4. Step 4: Simplify right side
    3,685.72x = 11,163,279.55
  5. Step 5: Solve for x
    x = 11,163,279.55/3,685.72
  6. Step 6: Final answer
    x = 3,028.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.