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Finding the Fourth Proportional to 20,934, 31,401 and 7,083

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Solution

The fourth proportional to 20,934, 31,401 and 7,083 is: 10,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,934 : 31,401 = 7,083 : x
  2. Step 2: Convert to fraction form
    20,934/31,401 = 7,083/x
  3. Step 3: Cross multiply
    20,934x = 31,401 × 7,083
  4. Step 4: Simplify right side
    20,934x = 222,413,283
  5. Step 5: Solve for x
    x = 222,413,283/20,934
  6. Step 6: Final answer
    x = 10,624.50

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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.