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Finding the Fourth Proportional to 3,946.58, 5,919.63 and 1,481.19

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Solution

The fourth proportional to 3,946.58, 5,919.63 and 1,481.19 is: 2,221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.58 : 5,919.63 = 1,481.19 : x
  2. Step 2: Convert to fraction form
    3,946.58/5,919.63 = 1,481.19/x
  3. Step 3: Cross multiply
    3,946.58x = 5,919.63 × 1,481.19
  4. Step 4: Simplify right side
    3,946.58x = 8,768,081.96
  5. Step 5: Solve for x
    x = 8,768,081.96/3,946.58
  6. Step 6: Final answer
    x = 2,221.69

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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.