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Finding the Fourth Proportional to 33,131, 45,720.78 and 18,227

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Solution

The fourth proportional to 33,131, 45,720.78 and 18,227 is: 25,153.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131 : 45,720.78 = 18,227 : x
  2. Step 2: Convert to fraction form
    33,131/45,720.78 = 18,227/x
  3. Step 3: Cross multiply
    33,131x = 45,720.78 × 18,227
  4. Step 4: Simplify right side
    33,131x = 833,352,657.06
  5. Step 5: Solve for x
    x = 833,352,657.06/33,131
  6. Step 6: Final answer
    x = 25,153.26

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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.