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Finding the Fourth Proportional to 15,994.70, 23,992.05 and 8,198.54

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Solution

The fourth proportional to 15,994.70, 23,992.05 and 8,198.54 is: 12,297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,994.70 : 23,992.05 = 8,198.54 : x
  2. Step 2: Convert to fraction form
    15,994.70/23,992.05 = 8,198.54/x
  3. Step 3: Cross multiply
    15,994.70x = 23,992.05 × 8,198.54
  4. Step 4: Simplify right side
    15,994.70x = 196,699,620.65
  5. Step 5: Solve for x
    x = 196,699,620.65/15,994.70
  6. Step 6: Final answer
    x = 12,297.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.