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Finding the Fourth Proportional to 20,694.75, 31,046.99 and 6,843.75

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Solution

The fourth proportional to 20,694.75, 31,046.99 and 6,843.75 is: 10,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.75 : 31,046.99 = 6,843.75 : x
  2. Step 2: Convert to fraction form
    20,694.75/31,046.99 = 6,843.75/x
  3. Step 3: Cross multiply
    20,694.75x = 31,046.99 × 6,843.75
  4. Step 4: Simplify right side
    20,694.75x = 212,477,837.81
  5. Step 5: Solve for x
    x = 212,477,837.81/20,694.75
  6. Step 6: Final answer
    x = 10,267.23

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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.