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Finding the Fourth Proportional to 29,667, 40,940.58 and 16,419

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Solution

The fourth proportional to 29,667, 40,940.58 and 16,419 is: 22,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,667 : 40,940.58 = 16,419 : x
  2. Step 2: Convert to fraction form
    29,667/40,940.58 = 16,419/x
  3. Step 3: Cross multiply
    29,667x = 40,940.58 × 16,419
  4. Step 4: Simplify right side
    29,667x = 672,203,383.02
  5. Step 5: Solve for x
    x = 672,203,383.02/29,667
  6. Step 6: Final answer
    x = 22,658.29

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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.