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Finding the Fourth Proportional to 20,672.75, 31,009.14 and 6,821.75

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Solution

The fourth proportional to 20,672.75, 31,009.14 and 6,821.75 is: 10,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.75 : 31,009.14 = 6,821.75 : x
  2. Step 2: Convert to fraction form
    20,672.75/31,009.14 = 6,821.75/x
  3. Step 3: Cross multiply
    20,672.75x = 31,009.14 × 6,821.75
  4. Step 4: Simplify right side
    20,672.75x = 211,536,600.80
  5. Step 5: Solve for x
    x = 211,536,600.80/20,672.75
  6. Step 6: Final answer
    x = 10,232.63

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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.