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Finding the Fourth Proportional to 5,791.58, 7,992.38 and 3,138.98

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Solution

The fourth proportional to 5,791.58, 7,992.38 and 3,138.98 is: 4,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.58 : 7,992.38 = 3,138.98 : x
  2. Step 2: Convert to fraction form
    5,791.58/7,992.38 = 3,138.98/x
  3. Step 3: Cross multiply
    5,791.58x = 7,992.38 × 3,138.98
  4. Step 4: Simplify right side
    5,791.58x = 25,087,905.28
  5. Step 5: Solve for x
    x = 25,087,905.28/5,791.58
  6. Step 6: Final answer
    x = 4,331.79

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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.