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Finding the Fourth Proportional to 2,788.62, 4,182.21 and 1,324.86

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Solution

The fourth proportional to 2,788.62, 4,182.21 and 1,324.86 is: 1,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.62 : 4,182.21 = 1,324.86 : x
  2. Step 2: Convert to fraction form
    2,788.62/4,182.21 = 1,324.86/x
  3. Step 3: Cross multiply
    2,788.62x = 4,182.21 × 1,324.86
  4. Step 4: Simplify right side
    2,788.62x = 5,540,842.74
  5. Step 5: Solve for x
    x = 5,540,842.74/2,788.62
  6. Step 6: Final answer
    x = 1,986.95

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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.