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Finding the Fourth Proportional to 33,181.31, 49,770.75 and 8,221.43

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Solution

The fourth proportional to 33,181.31, 49,770.75 and 8,221.43 is: 12,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,181.31 : 49,770.75 = 8,221.43 : x
  2. Step 2: Convert to fraction form
    33,181.31/49,770.75 = 8,221.43/x
  3. Step 3: Cross multiply
    33,181.31x = 49,770.75 × 8,221.43
  4. Step 4: Simplify right side
    33,181.31x = 409,186,737.17
  5. Step 5: Solve for x
    x = 409,186,737.17/33,181.31
  6. Step 6: Final answer
    x = 12,331.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.