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Finding the Fourth Proportional to 20,198, 30,297.15 and 7,050.39

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Solution

The fourth proportional to 20,198, 30,297.15 and 7,050.39 is: 10,575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 30,297.15 = 7,050.39 : x
  2. Step 2: Convert to fraction form
    20,198/30,297.15 = 7,050.39/x
  3. Step 3: Cross multiply
    20,198x = 30,297.15 × 7,050.39
  4. Step 4: Simplify right side
    20,198x = 213,606,571.90
  5. Step 5: Solve for x
    x = 213,606,571.90/20,198
  6. Step 6: Final answer
    x = 10,575.63

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Why These Related Problems?

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