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Finding the Fourth Proportional to 3,918.12, 5,877.24 and 996.45

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Solution

The fourth proportional to 3,918.12, 5,877.24 and 996.45 is: 1,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.12 : 5,877.24 = 996.45 : x
  2. Step 2: Convert to fraction form
    3,918.12/5,877.24 = 996.45/x
  3. Step 3: Cross multiply
    3,918.12x = 5,877.24 × 996.45
  4. Step 4: Simplify right side
    3,918.12x = 5,856,375.80
  5. Step 5: Solve for x
    x = 5,856,375.80/3,918.12
  6. Step 6: Final answer
    x = 1,494.69

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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.