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Finding the Fourth Proportional to 5,163.48, 7,743.52 and 2,791.12

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Solution

The fourth proportional to 5,163.48, 7,743.52 and 2,791.12 is: 4,185.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.48 : 7,743.52 = 2,791.12 : x
  2. Step 2: Convert to fraction form
    5,163.48/7,743.52 = 2,791.12/x
  3. Step 3: Cross multiply
    5,163.48x = 7,743.52 × 2,791.12
  4. Step 4: Simplify right side
    5,163.48x = 21,613,093.54
  5. Step 5: Solve for x
    x = 21,613,093.54/5,163.48
  6. Step 6: Final answer
    x = 4,185.76

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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.