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Finding the Fourth Proportional to 3,778, 5,667.64 and 1,180.42

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Solution

The fourth proportional to 3,778, 5,667.64 and 1,180.42 is: 1,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778 : 5,667.64 = 1,180.42 : x
  2. Step 2: Convert to fraction form
    3,778/5,667.64 = 1,180.42/x
  3. Step 3: Cross multiply
    3,778x = 5,667.64 × 1,180.42
  4. Step 4: Simplify right side
    3,778x = 6,690,195.61
  5. Step 5: Solve for x
    x = 6,690,195.61/3,778
  6. Step 6: Final answer
    x = 1,770.83

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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.