Home / 2,151.27-3,226.41-764.64

Finding the Fourth Proportional to 2,151.27, 3,226.41 and 764.64

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Solution

The fourth proportional to 2,151.27, 3,226.41 and 764.64 is: 1,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.27 : 3,226.41 = 764.64 : x
  2. Step 2: Convert to fraction form
    2,151.27/3,226.41 = 764.64/x
  3. Step 3: Cross multiply
    2,151.27x = 3,226.41 × 764.64
  4. Step 4: Simplify right side
    2,151.27x = 2,467,042.14
  5. Step 5: Solve for x
    x = 2,467,042.14/2,151.27
  6. Step 6: Final answer
    x = 1,146.78

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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.