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Finding the Fourth Proportional to 20,396.94, 30,578.94 and 7,910.52

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Solution

The fourth proportional to 20,396.94, 30,578.94 and 7,910.52 is: 11,859.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,396.94 : 30,578.94 = 7,910.52 : x
  2. Step 2: Convert to fraction form
    20,396.94/30,578.94 = 7,910.52/x
  3. Step 3: Cross multiply
    20,396.94x = 30,578.94 × 7,910.52
  4. Step 4: Simplify right side
    20,396.94x = 241,895,316.45
  5. Step 5: Solve for x
    x = 241,895,316.45/20,396.94
  6. Step 6: Final answer
    x = 11,859.39

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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.