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Finding the Fourth Proportional to 20,751.30, 31,103.67 and 8,268

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Solution

The fourth proportional to 20,751.30, 31,103.67 and 8,268 is: 12,392.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,751.30 : 31,103.67 = 8,268 : x
  2. Step 2: Convert to fraction form
    20,751.30/31,103.67 = 8,268/x
  3. Step 3: Cross multiply
    20,751.30x = 31,103.67 × 8,268
  4. Step 4: Simplify right side
    20,751.30x = 257,165,143.56
  5. Step 5: Solve for x
    x = 257,165,143.56/20,751.30
  6. Step 6: Final answer
    x = 12,392.72

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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.