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Finding the Fourth Proportional to 33,778, 50,690.04 and 11,890

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Solution

The fourth proportional to 33,778, 50,690.04 and 11,890 is: 17,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 50,690.04 = 11,890 : x
  2. Step 2: Convert to fraction form
    33,778/50,690.04 = 11,890/x
  3. Step 3: Cross multiply
    33,778x = 50,690.04 × 11,890
  4. Step 4: Simplify right side
    33,778x = 602,704,575.60
  5. Step 5: Solve for x
    x = 602,704,575.60/33,778
  6. Step 6: Final answer
    x = 17,843.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.