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Finding the Fourth Proportional to 20,777, 31,174.64 and 10,914

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Solution

The fourth proportional to 20,777, 31,174.64 and 10,914 is: 16,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,777 : 31,174.64 = 10,914 : x
  2. Step 2: Convert to fraction form
    20,777/31,174.64 = 10,914/x
  3. Step 3: Cross multiply
    20,777x = 31,174.64 × 10,914
  4. Step 4: Simplify right side
    20,777x = 340,240,020.96
  5. Step 5: Solve for x
    x = 340,240,020.96/20,777
  6. Step 6: Final answer
    x = 16,375.80

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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.