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Finding the Fourth Proportional to 20,425, 30,638.04 and 8,113

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Solution

The fourth proportional to 20,425, 30,638.04 and 8,113 is: 12,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425 : 30,638.04 = 8,113 : x
  2. Step 2: Convert to fraction form
    20,425/30,638.04 = 8,113/x
  3. Step 3: Cross multiply
    20,425x = 30,638.04 × 8,113
  4. Step 4: Simplify right side
    20,425x = 248,566,418.52
  5. Step 5: Solve for x
    x = 248,566,418.52/20,425
  6. Step 6: Final answer
    x = 12,169.71

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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.