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Finding the Fourth Proportional to 3,963.19, 5,944.78 and 1,189.86

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Solution

The fourth proportional to 3,963.19, 5,944.78 and 1,189.86 is: 1,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.19 : 5,944.78 = 1,189.86 : x
  2. Step 2: Convert to fraction form
    3,963.19/5,944.78 = 1,189.86/x
  3. Step 3: Cross multiply
    3,963.19x = 5,944.78 × 1,189.86
  4. Step 4: Simplify right side
    3,963.19x = 7,073,455.93
  5. Step 5: Solve for x
    x = 7,073,455.93/3,963.19
  6. Step 6: Final answer
    x = 1,784.79

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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.