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Finding the Fourth Proportional to 5,191.76, 7,163.07 and 3,067.49

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Solution

The fourth proportional to 5,191.76, 7,163.07 and 3,067.49 is: 4,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.76 : 7,163.07 = 3,067.49 : x
  2. Step 2: Convert to fraction form
    5,191.76/7,163.07 = 3,067.49/x
  3. Step 3: Cross multiply
    5,191.76x = 7,163.07 × 3,067.49
  4. Step 4: Simplify right side
    5,191.76x = 21,972,609.78
  5. Step 5: Solve for x
    x = 21,972,609.78/5,191.76
  6. Step 6: Final answer
    x = 4,232.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.