Home / 2,151.38-3,226.57-764.66

Finding the Fourth Proportional to 2,151.38, 3,226.57 and 764.66

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Solution

The fourth proportional to 2,151.38, 3,226.57 and 764.66 is: 1,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.38 : 3,226.57 = 764.66 : x
  2. Step 2: Convert to fraction form
    2,151.38/3,226.57 = 764.66/x
  3. Step 3: Cross multiply
    2,151.38x = 3,226.57 × 764.66
  4. Step 4: Simplify right side
    2,151.38x = 2,467,235.17
  5. Step 5: Solve for x
    x = 2,467,235.17/2,151.38
  6. Step 6: Final answer
    x = 1,146.81

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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.