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Finding the Fourth Proportional to 8,682.90, 11,982.18 and 4,906.46

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Solution

The fourth proportional to 8,682.90, 11,982.18 and 4,906.46 is: 6,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.90 : 11,982.18 = 4,906.46 : x
  2. Step 2: Convert to fraction form
    8,682.90/11,982.18 = 4,906.46/x
  3. Step 3: Cross multiply
    8,682.90x = 11,982.18 × 4,906.46
  4. Step 4: Simplify right side
    8,682.90x = 58,790,040.24
  5. Step 5: Solve for x
    x = 58,790,040.24/8,682.90
  6. Step 6: Final answer
    x = 6,770.79

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