Home / 2,328.24-3,493.11-769.38

Finding the Fourth Proportional to 2,328.24, 3,493.11 and 769.38

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Solution

The fourth proportional to 2,328.24, 3,493.11 and 769.38 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.24 : 3,493.11 = 769.38 : x
  2. Step 2: Convert to fraction form
    2,328.24/3,493.11 = 769.38/x
  3. Step 3: Cross multiply
    2,328.24x = 3,493.11 × 769.38
  4. Step 4: Simplify right side
    2,328.24x = 2,687,528.97
  5. Step 5: Solve for x
    x = 2,687,528.97/2,328.24
  6. Step 6: Final answer
    x = 1,154.32

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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.