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Finding the Fourth Proportional to 20,992, 31,493.12 and 6,400

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Solution

The fourth proportional to 20,992, 31,493.12 and 6,400 is: 9,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992 : 31,493.12 = 6,400 : x
  2. Step 2: Convert to fraction form
    20,992/31,493.12 = 6,400/x
  3. Step 3: Cross multiply
    20,992x = 31,493.12 × 6,400
  4. Step 4: Simplify right side
    20,992x = 201,555,968
  5. Step 5: Solve for x
    x = 201,555,968/20,992
  6. Step 6: Final answer
    x = 9,601.56

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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.