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Finding the Fourth Proportional to 20,659, 30,993.36 and 6,808

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Solution

The fourth proportional to 20,659, 30,993.36 and 6,808 is: 10,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,659 : 30,993.36 = 6,808 : x
  2. Step 2: Convert to fraction form
    20,659/30,993.36 = 6,808/x
  3. Step 3: Cross multiply
    20,659x = 30,993.36 × 6,808
  4. Step 4: Simplify right side
    20,659x = 211,002,794.88
  5. Step 5: Solve for x
    x = 211,002,794.88/20,659
  6. Step 6: Final answer
    x = 10,213.60

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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.