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Finding the Fourth Proportional to 6,644, 9,966 and 2,748.50

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Solution

The fourth proportional to 6,644, 9,966 and 2,748.50 is: 4,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644 : 9,966 = 2,748.50 : x
  2. Step 2: Convert to fraction form
    6,644/9,966 = 2,748.50/x
  3. Step 3: Cross multiply
    6,644x = 9,966 × 2,748.50
  4. Step 4: Simplify right side
    6,644x = 27,391,551
  5. Step 5: Solve for x
    x = 27,391,551/6,644
  6. Step 6: Final answer
    x = 4,122.75

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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.