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Finding the Fourth Proportional to 33,282, 45,929.20 and 18,378

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Solution

The fourth proportional to 33,282, 45,929.20 and 18,378 is: 25,361.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282 : 45,929.20 = 18,378 : x
  2. Step 2: Convert to fraction form
    33,282/45,929.20 = 18,378/x
  3. Step 3: Cross multiply
    33,282x = 45,929.20 × 18,378
  4. Step 4: Simplify right side
    33,282x = 844,086,837.60
  5. Step 5: Solve for x
    x = 844,086,837.60/33,282
  6. Step 6: Final answer
    x = 25,361.66

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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.