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Finding the Fourth Proportional to 2,788.72, 4,183.85 and 2,267.43

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Solution

The fourth proportional to 2,788.72, 4,183.85 and 2,267.43 is: 3,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.72 : 4,183.85 = 2,267.43 : x
  2. Step 2: Convert to fraction form
    2,788.72/4,183.85 = 2,267.43/x
  3. Step 3: Cross multiply
    2,788.72x = 4,183.85 × 2,267.43
  4. Step 4: Simplify right side
    2,788.72x = 9,486,587.01
  5. Step 5: Solve for x
    x = 9,486,587.01/2,788.72
  6. Step 6: Final answer
    x = 3,401.77

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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.