Home / 2,134.97-3,202.62-819.36

Finding the Fourth Proportional to 2,134.97, 3,202.62 and 819.36

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Solution

The fourth proportional to 2,134.97, 3,202.62 and 819.36 is: 1,229.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.97 : 3,202.62 = 819.36 : x
  2. Step 2: Convert to fraction form
    2,134.97/3,202.62 = 819.36/x
  3. Step 3: Cross multiply
    2,134.97x = 3,202.62 × 819.36
  4. Step 4: Simplify right side
    2,134.97x = 2,624,082.71
  5. Step 5: Solve for x
    x = 2,624,082.71/2,134.97
  6. Step 6: Final answer
    x = 1,229.10

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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.