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Finding the Fourth Proportional to 20,511.99, 30,768.12 and 7,364.48

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Solution

The fourth proportional to 20,511.99, 30,768.12 and 7,364.48 is: 11,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,511.99 : 30,768.12 = 7,364.48 : x
  2. Step 2: Convert to fraction form
    20,511.99/30,768.12 = 7,364.48/x
  3. Step 3: Cross multiply
    20,511.99x = 30,768.12 × 7,364.48
  4. Step 4: Simplify right side
    20,511.99x = 226,591,050.54
  5. Step 5: Solve for x
    x = 226,591,050.54/20,511.99
  6. Step 6: Final answer
    x = 11,046.76

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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.