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Finding the Fourth Proportional to 8,195.91, 11,311.31 and 4,659.65

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Solution

The fourth proportional to 8,195.91, 11,311.31 and 4,659.65 is: 6,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.91 : 11,311.31 = 4,659.65 : x
  2. Step 2: Convert to fraction form
    8,195.91/11,311.31 = 4,659.65/x
  3. Step 3: Cross multiply
    8,195.91x = 11,311.31 × 4,659.65
  4. Step 4: Simplify right side
    8,195.91x = 52,706,745.64
  5. Step 5: Solve for x
    x = 52,706,745.64/8,195.91
  6. Step 6: Final answer
    x = 6,430.86

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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.