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Finding the Fourth Proportional to 20,709, 31,064.22 and 6,857.64

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Solution

The fourth proportional to 20,709, 31,064.22 and 6,857.64 is: 10,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709 : 31,064.22 = 6,857.64 : x
  2. Step 2: Convert to fraction form
    20,709/31,064.22 = 6,857.64/x
  3. Step 3: Cross multiply
    20,709x = 31,064.22 × 6,857.64
  4. Step 4: Simplify right side
    20,709x = 213,027,237.64
  5. Step 5: Solve for x
    x = 213,027,237.64/20,709
  6. Step 6: Final answer
    x = 10,286.70

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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.