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Finding the Fourth Proportional to 16,766.73, 23,138.39 and 9,213.75

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Solution

The fourth proportional to 16,766.73, 23,138.39 and 9,213.75 is: 12,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,766.73 : 23,138.39 = 9,213.75 : x
  2. Step 2: Convert to fraction form
    16,766.73/23,138.39 = 9,213.75/x
  3. Step 3: Cross multiply
    16,766.73x = 23,138.39 × 9,213.75
  4. Step 4: Simplify right side
    16,766.73x = 213,191,363.90
  5. Step 5: Solve for x
    x = 213,191,363.90/16,766.73
  6. Step 6: Final answer
    x = 12,715.14

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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.