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Finding the Fourth Proportional to 20,651.78, 30,977.82 and 5,069.41

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Solution

The fourth proportional to 20,651.78, 30,977.82 and 5,069.41 is: 7,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.78 : 30,977.82 = 5,069.41 : x
  2. Step 2: Convert to fraction form
    20,651.78/30,977.82 = 5,069.41/x
  3. Step 3: Cross multiply
    20,651.78x = 30,977.82 × 5,069.41
  4. Step 4: Simplify right side
    20,651.78x = 157,039,270.49
  5. Step 5: Solve for x
    x = 157,039,270.49/20,651.78
  6. Step 6: Final answer
    x = 7,604.15

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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.