Home / 2,152.24-3,227.92-691.52

Finding the Fourth Proportional to 2,152.24, 3,227.92 and 691.52

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Solution

The fourth proportional to 2,152.24, 3,227.92 and 691.52 is: 1,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.24 : 3,227.92 = 691.52 : x
  2. Step 2: Convert to fraction form
    2,152.24/3,227.92 = 691.52/x
  3. Step 3: Cross multiply
    2,152.24x = 3,227.92 × 691.52
  4. Step 4: Simplify right side
    2,152.24x = 2,232,171.24
  5. Step 5: Solve for x
    x = 2,232,171.24/2,152.24
  6. Step 6: Final answer
    x = 1,037.14

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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.