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Finding the Fourth Proportional to 33,288, 49,932 and 19,427.28

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Solution

The fourth proportional to 33,288, 49,932 and 19,427.28 is: 29,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,288 : 49,932 = 19,427.28 : x
  2. Step 2: Convert to fraction form
    33,288/49,932 = 19,427.28/x
  3. Step 3: Cross multiply
    33,288x = 49,932 × 19,427.28
  4. Step 4: Simplify right side
    33,288x = 970,042,944.96
  5. Step 5: Solve for x
    x = 970,042,944.96/33,288
  6. Step 6: Final answer
    x = 29,140.92

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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.