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Finding the Fourth Proportional to 20,826, 31,239.04 and 8,514

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Solution

The fourth proportional to 20,826, 31,239.04 and 8,514 is: 12,771.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,826 : 31,239.04 = 8,514 : x
  2. Step 2: Convert to fraction form
    20,826/31,239.04 = 8,514/x
  3. Step 3: Cross multiply
    20,826x = 31,239.04 × 8,514
  4. Step 4: Simplify right side
    20,826x = 265,969,186.56
  5. Step 5: Solve for x
    x = 265,969,186.56/20,826
  6. Step 6: Final answer
    x = 12,771.02

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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.