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Finding the Fourth Proportional to 6,446.78, 8,896.09 and 3,793.83

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Solution

The fourth proportional to 6,446.78, 8,896.09 and 3,793.83 is: 5,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.78 : 8,896.09 = 3,793.83 : x
  2. Step 2: Convert to fraction form
    6,446.78/8,896.09 = 3,793.83/x
  3. Step 3: Cross multiply
    6,446.78x = 8,896.09 × 3,793.83
  4. Step 4: Simplify right side
    6,446.78x = 33,750,253.12
  5. Step 5: Solve for x
    x = 33,750,253.12/6,446.78
  6. Step 6: Final answer
    x = 5,235.21

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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.