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Finding the Fourth Proportional to 20,697.26, 31,055 and 10,843.60

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Solution

The fourth proportional to 20,697.26, 31,055 and 10,843.60 is: 16,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.26 : 31,055 = 10,843.60 : x
  2. Step 2: Convert to fraction form
    20,697.26/31,055 = 10,843.60/x
  3. Step 3: Cross multiply
    20,697.26x = 31,055 × 10,843.60
  4. Step 4: Simplify right side
    20,697.26x = 336,747,998
  5. Step 5: Solve for x
    x = 336,747,998/20,697.26
  6. Step 6: Final answer
    x = 16,270.17

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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.