Home / 2,118.24-3,176.76-819.41

Finding the Fourth Proportional to 2,118.24, 3,176.76 and 819.41

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Solution

The fourth proportional to 2,118.24, 3,176.76 and 819.41 is: 1,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.24 : 3,176.76 = 819.41 : x
  2. Step 2: Convert to fraction form
    2,118.24/3,176.76 = 819.41/x
  3. Step 3: Cross multiply
    2,118.24x = 3,176.76 × 819.41
  4. Step 4: Simplify right side
    2,118.24x = 2,603,067.41
  5. Step 5: Solve for x
    x = 2,603,067.41/2,118.24
  6. Step 6: Final answer
    x = 1,228.88

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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.