Home / 2,134.86-3,202.18-819.25

Finding the Fourth Proportional to 2,134.86, 3,202.18 and 819.25

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Solution

The fourth proportional to 2,134.86, 3,202.18 and 819.25 is: 1,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.86 : 3,202.18 = 819.25 : x
  2. Step 2: Convert to fraction form
    2,134.86/3,202.18 = 819.25/x
  3. Step 3: Cross multiply
    2,134.86x = 3,202.18 × 819.25
  4. Step 4: Simplify right side
    2,134.86x = 2,623,378.98
  5. Step 5: Solve for x
    x = 2,623,378.98/2,134.86
  6. Step 6: Final answer
    x = 1,228.83

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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.