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Finding the Fourth Proportional to 20,661.50, 30,997.11 and 6,810.50

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Solution

The fourth proportional to 20,661.50, 30,997.11 and 6,810.50 is: 10,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,661.50 : 30,997.11 = 6,810.50 : x
  2. Step 2: Convert to fraction form
    20,661.50/30,997.11 = 6,810.50/x
  3. Step 3: Cross multiply
    20,661.50x = 30,997.11 × 6,810.50
  4. Step 4: Simplify right side
    20,661.50x = 211,105,817.66
  5. Step 5: Solve for x
    x = 211,105,817.66/20,661.50
  6. Step 6: Final answer
    x = 10,217.35

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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.