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Finding the Fourth Proportional to 20,998.98, 31,500 and 6,958.44

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Solution

The fourth proportional to 20,998.98, 31,500 and 6,958.44 is: 10,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,998.98 : 31,500 = 6,958.44 : x
  2. Step 2: Convert to fraction form
    20,998.98/31,500 = 6,958.44/x
  3. Step 3: Cross multiply
    20,998.98x = 31,500 × 6,958.44
  4. Step 4: Simplify right side
    20,998.98x = 219,190,860
  5. Step 5: Solve for x
    x = 219,190,860/20,998.98
  6. Step 6: Final answer
    x = 10,438.17

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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.