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Finding the Fourth Proportional to 39,200, 54,096 and 21,536

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Solution

The fourth proportional to 39,200, 54,096 and 21,536 is: 29,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,200 : 54,096 = 21,536 : x
  2. Step 2: Convert to fraction form
    39,200/54,096 = 21,536/x
  3. Step 3: Cross multiply
    39,200x = 54,096 × 21,536
  4. Step 4: Simplify right side
    39,200x = 1,165,011,456
  5. Step 5: Solve for x
    x = 1,165,011,456/39,200
  6. Step 6: Final answer
    x = 29,719.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.