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Finding the Fourth Proportional to 6,876, 9,489.05 and 3,732.18

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Solution

The fourth proportional to 6,876, 9,489.05 and 3,732.18 is: 5,150.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876 : 9,489.05 = 3,732.18 : x
  2. Step 2: Convert to fraction form
    6,876/9,489.05 = 3,732.18/x
  3. Step 3: Cross multiply
    6,876x = 9,489.05 × 3,732.18
  4. Step 4: Simplify right side
    6,876x = 35,414,842.63
  5. Step 5: Solve for x
    x = 35,414,842.63/6,876
  6. Step 6: Final answer
    x = 5,150.50

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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.