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Finding the Fourth Proportional to 5,057.78, 7,582.11 and 2,591.33

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Solution

The fourth proportional to 5,057.78, 7,582.11 and 2,591.33 is: 3,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.78 : 7,582.11 = 2,591.33 : x
  2. Step 2: Convert to fraction form
    5,057.78/7,582.11 = 2,591.33/x
  3. Step 3: Cross multiply
    5,057.78x = 7,582.11 × 2,591.33
  4. Step 4: Simplify right side
    5,057.78x = 19,647,701.48
  5. Step 5: Solve for x
    x = 19,647,701.48/5,057.78
  6. Step 6: Final answer
    x = 3,884.65

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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.