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Finding the Fourth Proportional to 5,183.44, 7,779 and 2,876.88

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Solution

The fourth proportional to 5,183.44, 7,779 and 2,876.88 is: 4,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.44 : 7,779 = 2,876.88 : x
  2. Step 2: Convert to fraction form
    5,183.44/7,779 = 2,876.88/x
  3. Step 3: Cross multiply
    5,183.44x = 7,779 × 2,876.88
  4. Step 4: Simplify right side
    5,183.44x = 22,379,249.52
  5. Step 5: Solve for x
    x = 22,379,249.52/5,183.44
  6. Step 6: Final answer
    x = 4,317.45

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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.