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Finding the Fourth Proportional to 5,546.50, 7,654.37 and 3,310.09

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Solution

The fourth proportional to 5,546.50, 7,654.37 and 3,310.09 is: 4,568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.50 : 7,654.37 = 3,310.09 : x
  2. Step 2: Convert to fraction form
    5,546.50/7,654.37 = 3,310.09/x
  3. Step 3: Cross multiply
    5,546.50x = 7,654.37 × 3,310.09
  4. Step 4: Simplify right side
    5,546.50x = 25,336,617.91
  5. Step 5: Solve for x
    x = 25,336,617.91/5,546.50
  6. Step 6: Final answer
    x = 4,568.04

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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.