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Finding the Fourth Proportional to 29,670, 40,944.72 and 16,422

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Solution

The fourth proportional to 29,670, 40,944.72 and 16,422 is: 22,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,670 : 40,944.72 = 16,422 : x
  2. Step 2: Convert to fraction form
    29,670/40,944.72 = 16,422/x
  3. Step 3: Cross multiply
    29,670x = 40,944.72 × 16,422
  4. Step 4: Simplify right side
    29,670x = 672,394,191.84
  5. Step 5: Solve for x
    x = 672,394,191.84/29,670
  6. Step 6: Final answer
    x = 22,662.43

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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.