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Finding the Fourth Proportional to 3,860.78, 5,791.12 and 939.11

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Solution

The fourth proportional to 3,860.78, 5,791.12 and 939.11 is: 1,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.78 : 5,791.12 = 939.11 : x
  2. Step 2: Convert to fraction form
    3,860.78/5,791.12 = 939.11/x
  3. Step 3: Cross multiply
    3,860.78x = 5,791.12 × 939.11
  4. Step 4: Simplify right side
    3,860.78x = 5,438,467.40
  5. Step 5: Solve for x
    x = 5,438,467.40/3,860.78
  6. Step 6: Final answer
    x = 1,408.65

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1.5x scale

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.