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Finding the Fourth Proportional to 7,886.31, 11,834.73 and 3,269.31

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Solution

The fourth proportional to 7,886.31, 11,834.73 and 3,269.31 is: 4,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.31 : 11,834.73 = 3,269.31 : x
  2. Step 2: Convert to fraction form
    7,886.31/11,834.73 = 3,269.31/x
  3. Step 3: Cross multiply
    7,886.31x = 11,834.73 × 3,269.31
  4. Step 4: Simplify right side
    7,886.31x = 38,691,401.14
  5. Step 5: Solve for x
    x = 38,691,401.14/7,886.31
  6. Step 6: Final answer
    x = 4,906.15

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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.