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Finding the Fourth Proportional to 2,781.92, 4,173.52 and 1,221.92

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Solution

The fourth proportional to 2,781.92, 4,173.52 and 1,221.92 is: 1,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.92 : 4,173.52 = 1,221.92 : x
  2. Step 2: Convert to fraction form
    2,781.92/4,173.52 = 1,221.92/x
  3. Step 3: Cross multiply
    2,781.92x = 4,173.52 × 1,221.92
  4. Step 4: Simplify right side
    2,781.92x = 5,099,707.56
  5. Step 5: Solve for x
    x = 5,099,707.56/2,781.92
  6. Step 6: Final answer
    x = 1,833.16

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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.