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Finding the Fourth Proportional to 5,086.64, 7,630.78 and 2,489.78

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Solution

The fourth proportional to 5,086.64, 7,630.78 and 2,489.78 is: 3,735.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.64 : 7,630.78 = 2,489.78 : x
  2. Step 2: Convert to fraction form
    5,086.64/7,630.78 = 2,489.78/x
  3. Step 3: Cross multiply
    5,086.64x = 7,630.78 × 2,489.78
  4. Step 4: Simplify right side
    5,086.64x = 18,998,963.43
  5. Step 5: Solve for x
    x = 18,998,963.43/5,086.64
  6. Step 6: Final answer
    x = 3,735.07

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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.