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Finding the Fourth Proportional to 51,288, 76,932 and 18,456

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Solution

The fourth proportional to 51,288, 76,932 and 18,456 is: 27,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,288 : 76,932 = 18,456 : x
  2. Step 2: Convert to fraction form
    51,288/76,932 = 18,456/x
  3. Step 3: Cross multiply
    51,288x = 76,932 × 18,456
  4. Step 4: Simplify right side
    51,288x = 1,419,856,992
  5. Step 5: Solve for x
    x = 1,419,856,992/51,288
  6. Step 6: Final answer
    x = 27,684

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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.