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Finding the Fourth Proportional to 33,222, 45,849.60 and 18,318

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Solution

The fourth proportional to 33,222, 45,849.60 and 18,318 is: 25,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,222 : 45,849.60 = 18,318 : x
  2. Step 2: Convert to fraction form
    33,222/45,849.60 = 18,318/x
  3. Step 3: Cross multiply
    33,222x = 45,849.60 × 18,318
  4. Step 4: Simplify right side
    33,222x = 839,872,972.80
  5. Step 5: Solve for x
    x = 839,872,972.80/33,222
  6. Step 6: Final answer
    x = 25,280.63

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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.