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Finding the Fourth Proportional to 12,093.12, 16,690.34 and 7,380.14

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Solution

The fourth proportional to 12,093.12, 16,690.34 and 7,380.14 is: 10,185.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,093.12 : 16,690.34 = 7,380.14 : x
  2. Step 2: Convert to fraction form
    12,093.12/16,690.34 = 7,380.14/x
  3. Step 3: Cross multiply
    12,093.12x = 16,690.34 × 7,380.14
  4. Step 4: Simplify right side
    12,093.12x = 123,177,045.85
  5. Step 5: Solve for x
    x = 123,177,045.85/12,093.12
  6. Step 6: Final answer
    x = 10,185.71

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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.