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Finding the Fourth Proportional to 5,198.64, 7,791.21 and 3,961.50

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Solution

The fourth proportional to 5,198.64, 7,791.21 and 3,961.50 is: 5,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.64 : 7,791.21 = 3,961.50 : x
  2. Step 2: Convert to fraction form
    5,198.64/7,791.21 = 3,961.50/x
  3. Step 3: Cross multiply
    5,198.64x = 7,791.21 × 3,961.50
  4. Step 4: Simplify right side
    5,198.64x = 30,864,878.42
  5. Step 5: Solve for x
    x = 30,864,878.42/5,198.64
  6. Step 6: Final answer
    x = 5,937.11

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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.