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Finding the Fourth Proportional to 6,654.93, 9,982.49 and 3,191.37

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Solution

The fourth proportional to 6,654.93, 9,982.49 and 3,191.37 is: 4,787.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.93 : 9,982.49 = 3,191.37 : x
  2. Step 2: Convert to fraction form
    6,654.93/9,982.49 = 3,191.37/x
  3. Step 3: Cross multiply
    6,654.93x = 9,982.49 × 3,191.37
  4. Step 4: Simplify right side
    6,654.93x = 31,857,819.11
  5. Step 5: Solve for x
    x = 31,857,819.11/6,654.93
  6. Step 6: Final answer
    x = 4,787.10

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Why These Related Problems?

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