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Finding the Fourth Proportional to 13,992, 20,977.92 and 5,226.24

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Solution

The fourth proportional to 13,992, 20,977.92 and 5,226.24 is: 7,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 20,977.92 = 5,226.24 : x
  2. Step 2: Convert to fraction form
    13,992/20,977.92 = 5,226.24/x
  3. Step 3: Cross multiply
    13,992x = 20,977.92 × 5,226.24
  4. Step 4: Simplify right side
    13,992x = 109,635,644.62
  5. Step 5: Solve for x
    x = 109,635,644.62/13,992
  6. Step 6: Final answer
    x = 7,835.59

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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.