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Finding the Fourth Proportional to 11,644.28, 17,469.88 and 6,717.48

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Solution

The fourth proportional to 11,644.28, 17,469.88 and 6,717.48 is: 10,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.28 : 17,469.88 = 6,717.48 : x
  2. Step 2: Convert to fraction form
    11,644.28/17,469.88 = 6,717.48/x
  3. Step 3: Cross multiply
    11,644.28x = 17,469.88 × 6,717.48
  4. Step 4: Simplify right side
    11,644.28x = 117,353,569.50
  5. Step 5: Solve for x
    x = 117,353,569.50/11,644.28
  6. Step 6: Final answer
    x = 10,078.22

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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.