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Finding the Fourth Proportional to 7,311, 10,961.01 and 2,377.71

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Solution

The fourth proportional to 7,311, 10,961.01 and 2,377.71 is: 3,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311 : 10,961.01 = 2,377.71 : x
  2. Step 2: Convert to fraction form
    7,311/10,961.01 = 2,377.71/x
  3. Step 3: Cross multiply
    7,311x = 10,961.01 × 2,377.71
  4. Step 4: Simplify right side
    7,311x = 26,062,103.09
  5. Step 5: Solve for x
    x = 26,062,103.09/7,311
  6. Step 6: Final answer
    x = 3,564.78

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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.