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Finding the Fourth Proportional to 22,221, 33,331.50 and 5,805

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Solution

The fourth proportional to 22,221, 33,331.50 and 5,805 is: 8,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,221 : 33,331.50 = 5,805 : x
  2. Step 2: Convert to fraction form
    22,221/33,331.50 = 5,805/x
  3. Step 3: Cross multiply
    22,221x = 33,331.50 × 5,805
  4. Step 4: Simplify right side
    22,221x = 193,489,357.50
  5. Step 5: Solve for x
    x = 193,489,357.50/22,221
  6. Step 6: Final answer
    x = 8,707.50

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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.