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Finding the Fourth Proportional to 16,218, 22,380.84 and 8,766

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Solution

The fourth proportional to 16,218, 22,380.84 and 8,766 is: 12,097.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218 : 22,380.84 = 8,766 : x
  2. Step 2: Convert to fraction form
    16,218/22,380.84 = 8,766/x
  3. Step 3: Cross multiply
    16,218x = 22,380.84 × 8,766
  4. Step 4: Simplify right side
    16,218x = 196,190,443.44
  5. Step 5: Solve for x
    x = 196,190,443.44/16,218
  6. Step 6: Final answer
    x = 12,097.08

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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.