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Finding the Fourth Proportional to 21,344, 32,016 and 6,752

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Solution

The fourth proportional to 21,344, 32,016 and 6,752 is: 10,128

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344 : 32,016 = 6,752 : x
  2. Step 2: Convert to fraction form
    21,344/32,016 = 6,752/x
  3. Step 3: Cross multiply
    21,344x = 32,016 × 6,752
  4. Step 4: Simplify right side
    21,344x = 216,172,032
  5. Step 5: Solve for x
    x = 216,172,032/21,344
  6. Step 6: Final answer
    x = 10,128

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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.