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Finding the Fourth Proportional to 6,198, 8,553.50 and 3,682.28

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Solution

The fourth proportional to 6,198, 8,553.50 and 3,682.28 is: 5,081.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198 : 8,553.50 = 3,682.28 : x
  2. Step 2: Convert to fraction form
    6,198/8,553.50 = 3,682.28/x
  3. Step 3: Cross multiply
    6,198x = 8,553.50 × 3,682.28
  4. Step 4: Simplify right side
    6,198x = 31,496,381.98
  5. Step 5: Solve for x
    x = 31,496,381.98/6,198
  6. Step 6: Final answer
    x = 5,081.70

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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.