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Finding the Fourth Proportional to 6,825, 9,418.50 and 3,881

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Solution

The fourth proportional to 6,825, 9,418.50 and 3,881 is: 5,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 9,418.50 = 3,881 : x
  2. Step 2: Convert to fraction form
    6,825/9,418.50 = 3,881/x
  3. Step 3: Cross multiply
    6,825x = 9,418.50 × 3,881
  4. Step 4: Simplify right side
    6,825x = 36,553,198.50
  5. Step 5: Solve for x
    x = 36,553,198.50/6,825
  6. Step 6: Final answer
    x = 5,355.78

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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.