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Finding the Fourth Proportional to 3,187.94, 4,781.94 and 996.50

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Solution

The fourth proportional to 3,187.94, 4,781.94 and 996.50 is: 1,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.94 : 4,781.94 = 996.50 : x
  2. Step 2: Convert to fraction form
    3,187.94/4,781.94 = 996.50/x
  3. Step 3: Cross multiply
    3,187.94x = 4,781.94 × 996.50
  4. Step 4: Simplify right side
    3,187.94x = 4,765,203.21
  5. Step 5: Solve for x
    x = 4,765,203.21/3,187.94
  6. Step 6: Final answer
    x = 1,494.76

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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.