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Finding the Fourth Proportional to 8,202.30, 11,318.83 and 4,846.19

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Solution

The fourth proportional to 8,202.30, 11,318.83 and 4,846.19 is: 6,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.30 : 11,318.83 = 4,846.19 : x
  2. Step 2: Convert to fraction form
    8,202.30/11,318.83 = 4,846.19/x
  3. Step 3: Cross multiply
    8,202.30x = 11,318.83 × 4,846.19
  4. Step 4: Simplify right side
    8,202.30x = 54,853,200.76
  5. Step 5: Solve for x
    x = 54,853,200.76/8,202.30
  6. Step 6: Final answer
    x = 6,687.54

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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.