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Finding the Fourth Proportional to 33,178.38, 45,786.16 and 18,274.38

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Solution

The fourth proportional to 33,178.38, 45,786.16 and 18,274.38 is: 25,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.38 : 45,786.16 = 18,274.38 : x
  2. Step 2: Convert to fraction form
    33,178.38/45,786.16 = 18,274.38/x
  3. Step 3: Cross multiply
    33,178.38x = 45,786.16 × 18,274.38
  4. Step 4: Simplify right side
    33,178.38x = 836,713,686.58
  5. Step 5: Solve for x
    x = 836,713,686.58/33,178.38
  6. Step 6: Final answer
    x = 25,218.64

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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.