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Finding the Fourth Proportional to 11,837.97, 17,757.78 and 7,163.19

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Solution

The fourth proportional to 11,837.97, 17,757.78 and 7,163.19 is: 10,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.97 : 17,757.78 = 7,163.19 : x
  2. Step 2: Convert to fraction form
    11,837.97/17,757.78 = 7,163.19/x
  3. Step 3: Cross multiply
    11,837.97x = 17,757.78 × 7,163.19
  4. Step 4: Simplify right side
    11,837.97x = 127,202,352.12
  5. Step 5: Solve for x
    x = 127,202,352.12/11,837.97
  6. Step 6: Final answer
    x = 10,745.28

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1.5x scale

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.