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Finding the Fourth Proportional to 20,540.52, 30,810.74 and 8,228.52

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Solution

The fourth proportional to 20,540.52, 30,810.74 and 8,228.52 is: 12,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,540.52 : 30,810.74 = 8,228.52 : x
  2. Step 2: Convert to fraction form
    20,540.52/30,810.74 = 8,228.52/x
  3. Step 3: Cross multiply
    20,540.52x = 30,810.74 × 8,228.52
  4. Step 4: Simplify right side
    20,540.52x = 253,526,790.30
  5. Step 5: Solve for x
    x = 253,526,790.30/20,540.52
  6. Step 6: Final answer
    x = 12,342.76

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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.