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Finding the Fourth Proportional to 3,794, 5,235.72 and 2,138

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Solution

The fourth proportional to 3,794, 5,235.72 and 2,138 is: 2,950.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794 : 5,235.72 = 2,138 : x
  2. Step 2: Convert to fraction form
    3,794/5,235.72 = 2,138/x
  3. Step 3: Cross multiply
    3,794x = 5,235.72 × 2,138
  4. Step 4: Simplify right side
    3,794x = 11,193,969.36
  5. Step 5: Solve for x
    x = 11,193,969.36/3,794
  6. Step 6: Final answer
    x = 2,950.44

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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.