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Finding the Fourth Proportional to 3,961.92, 5,944.50 and 1,330.50

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Solution

The fourth proportional to 3,961.92, 5,944.50 and 1,330.50 is: 1,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.92 : 5,944.50 = 1,330.50 : x
  2. Step 2: Convert to fraction form
    3,961.92/5,944.50 = 1,330.50/x
  3. Step 3: Cross multiply
    3,961.92x = 5,944.50 × 1,330.50
  4. Step 4: Simplify right side
    3,961.92x = 7,909,157.25
  5. Step 5: Solve for x
    x = 7,909,157.25/3,961.92
  6. Step 6: Final answer
    x = 1,996.29

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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.