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Finding the Fourth Proportional to 4,788.64, 7,183.77 and 2,191.78

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Solution

The fourth proportional to 4,788.64, 7,183.77 and 2,191.78 is: 3,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.64 : 7,183.77 = 2,191.78 : x
  2. Step 2: Convert to fraction form
    4,788.64/7,183.77 = 2,191.78/x
  3. Step 3: Cross multiply
    4,788.64x = 7,183.77 × 2,191.78
  4. Step 4: Simplify right side
    4,788.64x = 15,745,243.41
  5. Step 5: Solve for x
    x = 15,745,243.41/4,788.64
  6. Step 6: Final answer
    x = 3,288.04

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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.