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Finding the Fourth Proportional to 8,195.65, 12,294.87 and 2,648.32

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Solution

The fourth proportional to 8,195.65, 12,294.87 and 2,648.32 is: 3,972.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.65 : 12,294.87 = 2,648.32 : x
  2. Step 2: Convert to fraction form
    8,195.65/12,294.87 = 2,648.32/x
  3. Step 3: Cross multiply
    8,195.65x = 12,294.87 × 2,648.32
  4. Step 4: Simplify right side
    8,195.65x = 32,560,750.12
  5. Step 5: Solve for x
    x = 32,560,750.12/8,195.65
  6. Step 6: Final answer
    x = 3,972.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.