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Finding the Fourth Proportional to 3,651.60, 5,468.61 and 2,086.86

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Solution

The fourth proportional to 3,651.60, 5,468.61 and 2,086.86 is: 3,125.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.60 : 5,468.61 = 2,086.86 : x
  2. Step 2: Convert to fraction form
    3,651.60/5,468.61 = 2,086.86/x
  3. Step 3: Cross multiply
    3,651.60x = 5,468.61 × 2,086.86
  4. Step 4: Simplify right side
    3,651.60x = 11,412,223.46
  5. Step 5: Solve for x
    x = 11,412,223.46/3,651.60
  6. Step 6: Final answer
    x = 3,125.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.