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Finding the Fourth Proportional to 16,381, 22,605.80 and 8,929

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Solution

The fourth proportional to 16,381, 22,605.80 and 8,929 is: 12,322.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381 : 22,605.80 = 8,929 : x
  2. Step 2: Convert to fraction form
    16,381/22,605.80 = 8,929/x
  3. Step 3: Cross multiply
    16,381x = 22,605.80 × 8,929
  4. Step 4: Simplify right side
    16,381x = 201,847,143.56
  5. Step 5: Solve for x
    x = 201,847,143.56/16,381
  6. Step 6: Final answer
    x = 12,322.03

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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.