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Finding the Fourth Proportional to 3,187.60, 4,781.54 and 996.37

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Solution

The fourth proportional to 3,187.60, 4,781.54 and 996.37 is: 1,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.60 : 4,781.54 = 996.37 : x
  2. Step 2: Convert to fraction form
    3,187.60/4,781.54 = 996.37/x
  3. Step 3: Cross multiply
    3,187.60x = 4,781.54 × 996.37
  4. Step 4: Simplify right side
    3,187.60x = 4,764,183.01
  5. Step 5: Solve for x
    x = 4,764,183.01/3,187.60
  6. Step 6: Final answer
    x = 1,494.60

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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.