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Finding the Fourth Proportional to 20,578.70, 30,849.56 and 7,427.98

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Solution

The fourth proportional to 20,578.70, 30,849.56 and 7,427.98 is: 11,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.70 : 30,849.56 = 7,427.98 : x
  2. Step 2: Convert to fraction form
    20,578.70/30,849.56 = 7,427.98/x
  3. Step 3: Cross multiply
    20,578.70x = 30,849.56 × 7,427.98
  4. Step 4: Simplify right side
    20,578.70x = 229,149,914.69
  5. Step 5: Solve for x
    x = 229,149,914.69/20,578.70
  6. Step 6: Final answer
    x = 11,135.30

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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.