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Finding the Fourth Proportional to 3,187.53, 4,781.97 and 996.42

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Solution

The fourth proportional to 3,187.53, 4,781.97 and 996.42 is: 1,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.53 : 4,781.97 = 996.42 : x
  2. Step 2: Convert to fraction form
    3,187.53/4,781.97 = 996.42/x
  3. Step 3: Cross multiply
    3,187.53x = 4,781.97 × 996.42
  4. Step 4: Simplify right side
    3,187.53x = 4,764,868.48
  5. Step 5: Solve for x
    x = 4,764,868.48/3,187.53
  6. Step 6: Final answer
    x = 1,494.85

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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.