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Finding the Fourth Proportional to 20,663, 30,995.58 and 6,812

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Solution

The fourth proportional to 20,663, 30,995.58 and 6,812 is: 10,218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,663 : 30,995.58 = 6,812 : x
  2. Step 2: Convert to fraction form
    20,663/30,995.58 = 6,812/x
  3. Step 3: Cross multiply
    20,663x = 30,995.58 × 6,812
  4. Step 4: Simplify right side
    20,663x = 211,141,890.96
  5. Step 5: Solve for x
    x = 211,141,890.96/20,663
  6. Step 6: Final answer
    x = 10,218.36

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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.