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Finding the Fourth Proportional to 22,066, 33,100.62 and 8,215

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Solution

The fourth proportional to 22,066, 33,100.62 and 8,215 is: 12,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,066 : 33,100.62 = 8,215 : x
  2. Step 2: Convert to fraction form
    22,066/33,100.62 = 8,215/x
  3. Step 3: Cross multiply
    22,066x = 33,100.62 × 8,215
  4. Step 4: Simplify right side
    22,066x = 271,921,593.30
  5. Step 5: Solve for x
    x = 271,921,593.30/22,066
  6. Step 6: Final answer
    x = 12,323.10

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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.