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Finding the Fourth Proportional to 6,638.30, 9,961.05 and 2,743.10

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Solution

The fourth proportional to 6,638.30, 9,961.05 and 2,743.10 is: 4,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.30 : 9,961.05 = 2,743.10 : x
  2. Step 2: Convert to fraction form
    6,638.30/9,961.05 = 2,743.10/x
  3. Step 3: Cross multiply
    6,638.30x = 9,961.05 × 2,743.10
  4. Step 4: Simplify right side
    6,638.30x = 27,324,156.26
  5. Step 5: Solve for x
    x = 27,324,156.26/6,638.30
  6. Step 6: Final answer
    x = 4,116.14

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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.