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Finding the Fourth Proportional to 20,676, 31,014 and 6,826.08

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Solution

The fourth proportional to 20,676, 31,014 and 6,826.08 is: 10,239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,676 : 31,014 = 6,826.08 : x
  2. Step 2: Convert to fraction form
    20,676/31,014 = 6,826.08/x
  3. Step 3: Cross multiply
    20,676x = 31,014 × 6,826.08
  4. Step 4: Simplify right side
    20,676x = 211,704,045.12
  5. Step 5: Solve for x
    x = 211,704,045.12/20,676
  6. Step 6: Final answer
    x = 10,239.12

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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.