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Finding the Fourth Proportional to 33,182, 45,791.16 and 18,278

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Solution

The fourth proportional to 33,182, 45,791.16 and 18,278 is: 25,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182 : 45,791.16 = 18,278 : x
  2. Step 2: Convert to fraction form
    33,182/45,791.16 = 18,278/x
  3. Step 3: Cross multiply
    33,182x = 45,791.16 × 18,278
  4. Step 4: Simplify right side
    33,182x = 836,970,822.48
  5. Step 5: Solve for x
    x = 836,970,822.48/33,182
  6. Step 6: Final answer
    x = 25,223.64

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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.