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Finding the Fourth Proportional to 3,131.37, 4,696.96 and 791.37

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Solution

The fourth proportional to 3,131.37, 4,696.96 and 791.37 is: 1,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.37 : 4,696.96 = 791.37 : x
  2. Step 2: Convert to fraction form
    3,131.37/4,696.96 = 791.37/x
  3. Step 3: Cross multiply
    3,131.37x = 4,696.96 × 791.37
  4. Step 4: Simplify right side
    3,131.37x = 3,717,033.24
  5. Step 5: Solve for x
    x = 3,717,033.24/3,131.37
  6. Step 6: Final answer
    x = 1,187.03

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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.