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Finding the Fourth Proportional to 16,231, 22,398.80 and 8,779

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Solution

The fourth proportional to 16,231, 22,398.80 and 8,779 is: 12,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231 : 22,398.80 = 8,779 : x
  2. Step 2: Convert to fraction form
    16,231/22,398.80 = 8,779/x
  3. Step 3: Cross multiply
    16,231x = 22,398.80 × 8,779
  4. Step 4: Simplify right side
    16,231x = 196,639,065.20
  5. Step 5: Solve for x
    x = 196,639,065.20/16,231
  6. Step 6: Final answer
    x = 12,115.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.