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Finding the Fourth Proportional to 20,661, 30,996.36 and 6,810

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Solution

The fourth proportional to 20,661, 30,996.36 and 6,810 is: 10,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661 : 30,996.36 = 6,810 : x
  2. Step 2: Convert to fraction form
    20,661/30,996.36 = 6,810/x
  3. Step 3: Cross multiply
    20,661x = 30,996.36 × 6,810
  4. Step 4: Simplify right side
    20,661x = 211,085,211.60
  5. Step 5: Solve for x
    x = 211,085,211.60/20,661
  6. Step 6: Final answer
    x = 10,216.60

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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.