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Finding the Fourth Proportional to 16,419, 22,658.34 and 8,967

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Solution

The fourth proportional to 16,419, 22,658.34 and 8,967 is: 12,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419 : 22,658.34 = 8,967 : x
  2. Step 2: Convert to fraction form
    16,419/22,658.34 = 8,967/x
  3. Step 3: Cross multiply
    16,419x = 22,658.34 × 8,967
  4. Step 4: Simplify right side
    16,419x = 203,177,334.78
  5. Step 5: Solve for x
    x = 203,177,334.78/16,419
  6. Step 6: Final answer
    x = 12,374.53

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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.