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Finding the Fourth Proportional to 12,022.75, 16,591.36 and 7,245.44

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Solution

The fourth proportional to 12,022.75, 16,591.36 and 7,245.44 is: 9,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.75 : 16,591.36 = 7,245.44 : x
  2. Step 2: Convert to fraction form
    12,022.75/16,591.36 = 7,245.44/x
  3. Step 3: Cross multiply
    12,022.75x = 16,591.36 × 7,245.44
  4. Step 4: Simplify right side
    12,022.75x = 120,211,703.40
  5. Step 5: Solve for x
    x = 120,211,703.40/12,022.75
  6. Step 6: Final answer
    x = 9,998.69

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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.