Home / 2,283.25-3,422.82-821.38

Finding the Fourth Proportional to 2,283.25, 3,422.82 and 821.38

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Solution

The fourth proportional to 2,283.25, 3,422.82 and 821.38 is: 1,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,283.25 : 3,422.82 = 821.38 : x
  2. Step 2: Convert to fraction form
    2,283.25/3,422.82 = 821.38/x
  3. Step 3: Cross multiply
    2,283.25x = 3,422.82 × 821.38
  4. Step 4: Simplify right side
    2,283.25x = 2,811,418.78
  5. Step 5: Solve for x
    x = 2,811,418.78/2,283.25
  6. Step 6: Final answer
    x = 1,231.33

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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.