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Finding the Fourth Proportional to 2,481.42, 3,723.04 and 1,788.87

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Solution

The fourth proportional to 2,481.42, 3,723.04 and 1,788.87 is: 2,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481.42 : 3,723.04 = 1,788.87 : x
  2. Step 2: Convert to fraction form
    2,481.42/3,723.04 = 1,788.87/x
  3. Step 3: Cross multiply
    2,481.42x = 3,723.04 × 1,788.87
  4. Step 4: Simplify right side
    2,481.42x = 6,660,016.31
  5. Step 5: Solve for x
    x = 6,660,016.31/2,481.42
  6. Step 6: Final answer
    x = 2,683.96

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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.