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Finding the Fourth Proportional to 20,719.26, 31,069.26 and 6,676.65

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Solution

The fourth proportional to 20,719.26, 31,069.26 and 6,676.65 is: 10,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.26 : 31,069.26 = 6,676.65 : x
  2. Step 2: Convert to fraction form
    20,719.26/31,069.26 = 6,676.65/x
  3. Step 3: Cross multiply
    20,719.26x = 31,069.26 × 6,676.65
  4. Step 4: Simplify right side
    20,719.26x = 207,438,574.78
  5. Step 5: Solve for x
    x = 207,438,574.78/20,719.26
  6. Step 6: Final answer
    x = 10,011.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.