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Finding the Fourth Proportional to 33,874.08, 50,811.12 and 14,141.88

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Solution

The fourth proportional to 33,874.08, 50,811.12 and 14,141.88 is: 21,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874.08 : 50,811.12 = 14,141.88 : x
  2. Step 2: Convert to fraction form
    33,874.08/50,811.12 = 14,141.88/x
  3. Step 3: Cross multiply
    33,874.08x = 50,811.12 × 14,141.88
  4. Step 4: Simplify right side
    33,874.08x = 718,564,761.71
  5. Step 5: Solve for x
    x = 718,564,761.71/33,874.08
  6. Step 6: Final answer
    x = 21,212.82

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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.