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Finding the Fourth Proportional to 2,550.72, 3,821.21 and 1,727.58

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Solution

The fourth proportional to 2,550.72, 3,821.21 and 1,727.58 is: 2,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.72 : 3,821.21 = 1,727.58 : x
  2. Step 2: Convert to fraction form
    2,550.72/3,821.21 = 1,727.58/x
  3. Step 3: Cross multiply
    2,550.72x = 3,821.21 × 1,727.58
  4. Step 4: Simplify right side
    2,550.72x = 6,601,445.97
  5. Step 5: Solve for x
    x = 6,601,445.97/2,550.72
  6. Step 6: Final answer
    x = 2,588.07

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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.