Home / 2,281.21-3,421.68-819.97

Finding the Fourth Proportional to 2,281.21, 3,421.68 and 819.97

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Solution

The fourth proportional to 2,281.21, 3,421.68 and 819.97 is: 1,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.21 : 3,421.68 = 819.97 : x
  2. Step 2: Convert to fraction form
    2,281.21/3,421.68 = 819.97/x
  3. Step 3: Cross multiply
    2,281.21x = 3,421.68 × 819.97
  4. Step 4: Simplify right side
    2,281.21x = 2,805,674.95
  5. Step 5: Solve for x
    x = 2,805,674.95/2,281.21
  6. Step 6: Final answer
    x = 1,229.91

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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.