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Finding the Fourth Proportional to 2,109, 3,163.25 and 722.31

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Solution

The fourth proportional to 2,109, 3,163.25 and 722.31 is: 1,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 3,163.25 = 722.31 : x
  2. Step 2: Convert to fraction form
    2,109/3,163.25 = 722.31/x
  3. Step 3: Cross multiply
    2,109x = 3,163.25 × 722.31
  4. Step 4: Simplify right side
    2,109x = 2,284,843.50
  5. Step 5: Solve for x
    x = 2,284,843.50/2,109
  6. Step 6: Final answer
    x = 1,083.38

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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.