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Finding the Fourth Proportional to 39,198, 54,093.24 and 21,534

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Solution

The fourth proportional to 39,198, 54,093.24 and 21,534 is: 29,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,198 : 54,093.24 = 21,534 : x
  2. Step 2: Convert to fraction form
    39,198/54,093.24 = 21,534/x
  3. Step 3: Cross multiply
    39,198x = 54,093.24 × 21,534
  4. Step 4: Simplify right side
    39,198x = 1,164,843,830.16
  5. Step 5: Solve for x
    x = 1,164,843,830.16/39,198
  6. Step 6: Final answer
    x = 29,716.92

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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.