Home / 2,205.54-3,308.39-819.23

Finding the Fourth Proportional to 2,205.54, 3,308.39 and 819.23

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Solution

The fourth proportional to 2,205.54, 3,308.39 and 819.23 is: 1,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.54 : 3,308.39 = 819.23 : x
  2. Step 2: Convert to fraction form
    2,205.54/3,308.39 = 819.23/x
  3. Step 3: Cross multiply
    2,205.54x = 3,308.39 × 819.23
  4. Step 4: Simplify right side
    2,205.54x = 2,710,317.85
  5. Step 5: Solve for x
    x = 2,710,317.85/2,205.54
  6. Step 6: Final answer
    x = 1,228.87

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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.