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Finding the Fourth Proportional to 5,198.85, 7,174.89 and 4,081.86

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Solution

The fourth proportional to 5,198.85, 7,174.89 and 4,081.86 is: 5,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.85 : 7,174.89 = 4,081.86 : x
  2. Step 2: Convert to fraction form
    5,198.85/7,174.89 = 4,081.86/x
  3. Step 3: Cross multiply
    5,198.85x = 7,174.89 × 4,081.86
  4. Step 4: Simplify right side
    5,198.85x = 29,286,896.50
  5. Step 5: Solve for x
    x = 29,286,896.50/5,198.85
  6. Step 6: Final answer
    x = 5,633.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.