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Finding the Fourth Proportional to 6,638.70, 9,964.19 and 3,354.09

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Solution

The fourth proportional to 6,638.70, 9,964.19 and 3,354.09 is: 5,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.70 : 9,964.19 = 3,354.09 : x
  2. Step 2: Convert to fraction form
    6,638.70/9,964.19 = 3,354.09/x
  3. Step 3: Cross multiply
    6,638.70x = 9,964.19 × 3,354.09
  4. Step 4: Simplify right side
    6,638.70x = 33,420,790.04
  5. Step 5: Solve for x
    x = 33,420,790.04/6,638.70
  6. Step 6: Final answer
    x = 5,034.24

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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.