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Finding the Fourth Proportional to 20,666, 30,999 and 6,816.08

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Solution

The fourth proportional to 20,666, 30,999 and 6,816.08 is: 10,224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,666 : 30,999 = 6,816.08 : x
  2. Step 2: Convert to fraction form
    20,666/30,999 = 6,816.08/x
  3. Step 3: Cross multiply
    20,666x = 30,999 × 6,816.08
  4. Step 4: Simplify right side
    20,666x = 211,291,663.92
  5. Step 5: Solve for x
    x = 211,291,663.92/20,666
  6. Step 6: Final answer
    x = 10,224.12

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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.