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Finding the Fourth Proportional to 5,791.40, 7,992.14 and 3,138.81

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Solution

The fourth proportional to 5,791.40, 7,992.14 and 3,138.81 is: 4,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.40 : 7,992.14 = 3,138.81 : x
  2. Step 2: Convert to fraction form
    5,791.40/7,992.14 = 3,138.81/x
  3. Step 3: Cross multiply
    5,791.40x = 7,992.14 × 3,138.81
  4. Step 4: Simplify right side
    5,791.40x = 25,085,775.53
  5. Step 5: Solve for x
    x = 25,085,775.53/5,791.40
  6. Step 6: Final answer
    x = 4,331.56

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1.5x scale

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.