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Finding the Fourth Proportional to 6,137.70, 9,196.13 and 3,791.87

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Solution

The fourth proportional to 6,137.70, 9,196.13 and 3,791.87 is: 5,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.70 : 9,196.13 = 3,791.87 : x
  2. Step 2: Convert to fraction form
    6,137.70/9,196.13 = 3,791.87/x
  3. Step 3: Cross multiply
    6,137.70x = 9,196.13 × 3,791.87
  4. Step 4: Simplify right side
    6,137.70x = 34,870,529.46
  5. Step 5: Solve for x
    x = 34,870,529.46/6,137.70
  6. Step 6: Final answer
    x = 5,681.37

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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.