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Finding the Fourth Proportional to 33,900, 50,813.20 and 15,154.21

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Solution

The fourth proportional to 33,900, 50,813.20 and 15,154.21 is: 22,714.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900 : 50,813.20 = 15,154.21 : x
  2. Step 2: Convert to fraction form
    33,900/50,813.20 = 15,154.21/x
  3. Step 3: Cross multiply
    33,900x = 50,813.20 × 15,154.21
  4. Step 4: Simplify right side
    33,900x = 770,033,903.57
  5. Step 5: Solve for x
    x = 770,033,903.57/33,900
  6. Step 6: Final answer
    x = 22,714.86

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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.