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Finding the Fourth Proportional to 20,864, 31,296 and 7,013

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Solution

The fourth proportional to 20,864, 31,296 and 7,013 is: 10,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864 : 31,296 = 7,013 : x
  2. Step 2: Convert to fraction form
    20,864/31,296 = 7,013/x
  3. Step 3: Cross multiply
    20,864x = 31,296 × 7,013
  4. Step 4: Simplify right side
    20,864x = 219,478,848
  5. Step 5: Solve for x
    x = 219,478,848/20,864
  6. Step 6: Final answer
    x = 10,519.50

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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.