Home / 2,280.96-3,419.34-819.75

Finding the Fourth Proportional to 2,280.96, 3,419.34 and 819.75

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Solution

The fourth proportional to 2,280.96, 3,419.34 and 819.75 is: 1,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.96 : 3,419.34 = 819.75 : x
  2. Step 2: Convert to fraction form
    2,280.96/3,419.34 = 819.75/x
  3. Step 3: Cross multiply
    2,280.96x = 3,419.34 × 819.75
  4. Step 4: Simplify right side
    2,280.96x = 2,803,003.97
  5. Step 5: Solve for x
    x = 2,803,003.97/2,280.96
  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.