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Finding the Fourth Proportional to 20,796.20, 31,191 and 6,756.56

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Solution

The fourth proportional to 20,796.20, 31,191 and 6,756.56 is: 10,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.20 : 31,191 = 6,756.56 : x
  2. Step 2: Convert to fraction form
    20,796.20/31,191 = 6,756.56/x
  3. Step 3: Cross multiply
    20,796.20x = 31,191 × 6,756.56
  4. Step 4: Simplify right side
    20,796.20x = 210,743,862.96
  5. Step 5: Solve for x
    x = 210,743,862.96/20,796.20
  6. Step 6: Final answer
    x = 10,133.77

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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.