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Finding the Fourth Proportional to 51,344, 77,016 and 18,512

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Solution

The fourth proportional to 51,344, 77,016 and 18,512 is: 27,768

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344 : 77,016 = 18,512 : x
  2. Step 2: Convert to fraction form
    51,344/77,016 = 18,512/x
  3. Step 3: Cross multiply
    51,344x = 77,016 × 18,512
  4. Step 4: Simplify right side
    51,344x = 1,425,720,192
  5. Step 5: Solve for x
    x = 1,425,720,192/51,344
  6. Step 6: Final answer
    x = 27,768

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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.