Home / 2,281.11-3,422.06-820.41

Finding the Fourth Proportional to 2,281.11, 3,422.06 and 820.41

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Solution

The fourth proportional to 2,281.11, 3,422.06 and 820.41 is: 1,230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.11 : 3,422.06 = 820.41 : x
  2. Step 2: Convert to fraction form
    2,281.11/3,422.06 = 820.41/x
  3. Step 3: Cross multiply
    2,281.11x = 3,422.06 × 820.41
  4. Step 4: Simplify right side
    2,281.11x = 2,807,488.14
  5. Step 5: Solve for x
    x = 2,807,488.14/2,281.11
  6. Step 6: Final answer
    x = 1,230.76

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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.