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Finding the Fourth Proportional to 20,051.32, 30,078.54 and 8,367.88

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Solution

The fourth proportional to 20,051.32, 30,078.54 and 8,367.88 is: 12,552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,051.32 : 30,078.54 = 8,367.88 : x
  2. Step 2: Convert to fraction form
    20,051.32/30,078.54 = 8,367.88/x
  3. Step 3: Cross multiply
    20,051.32x = 30,078.54 × 8,367.88
  4. Step 4: Simplify right side
    20,051.32x = 251,693,613.30
  5. Step 5: Solve for x
    x = 251,693,613.30/20,051.32
  6. Step 6: Final answer
    x = 12,552.47

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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.