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Finding the Fourth Proportional to 3,946.97, 5,920.72 and 1,481.86

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Solution

The fourth proportional to 3,946.97, 5,920.72 and 1,481.86 is: 2,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.97 : 5,920.72 = 1,481.86 : x
  2. Step 2: Convert to fraction form
    3,946.97/5,920.72 = 1,481.86/x
  3. Step 3: Cross multiply
    3,946.97x = 5,920.72 × 1,481.86
  4. Step 4: Simplify right side
    3,946.97x = 8,773,659.63
  5. Step 5: Solve for x
    x = 8,773,659.63/3,946.97
  6. Step 6: Final answer
    x = 2,222.88

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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.