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Finding the Fourth Proportional to 6,876, 9,488.66 and 3,732.21

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Solution

The fourth proportional to 6,876, 9,488.66 and 3,732.21 is: 5,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,488.66 = 3,732.21 : x
  2. Step 2: Convert to fraction form
    6,876/9,488.66 = 3,732.21/x
  3. Step 3: Cross multiply
    6,876x = 9,488.66 × 3,732.21
  4. Step 4: Simplify right side
    6,876x = 35,413,653.08
  5. Step 5: Solve for x
    x = 35,413,653.08/6,876
  6. Step 6: Final answer
    x = 5,150.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.