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Finding the Fourth Proportional to 2,774.25, 4,161.38 and 722.25

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Solution

The fourth proportional to 2,774.25, 4,161.38 and 722.25 is: 1,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.25 : 4,161.38 = 722.25 : x
  2. Step 2: Convert to fraction form
    2,774.25/4,161.38 = 722.25/x
  3. Step 3: Cross multiply
    2,774.25x = 4,161.38 × 722.25
  4. Step 4: Simplify right side
    2,774.25x = 3,005,553.09
  5. Step 5: Solve for x
    x = 3,005,553.09/2,774.25
  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.