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Finding the Fourth Proportional to 3,879.26, 5,821 and 1,687.98

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Solution

The fourth proportional to 3,879.26, 5,821 and 1,687.98 is: 2,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.26 : 5,821 = 1,687.98 : x
  2. Step 2: Convert to fraction form
    3,879.26/5,821 = 1,687.98/x
  3. Step 3: Cross multiply
    3,879.26x = 5,821 × 1,687.98
  4. Step 4: Simplify right side
    3,879.26x = 9,825,731.58
  5. Step 5: Solve for x
    x = 9,825,731.58/3,879.26
  6. Step 6: Final answer
    x = 2,532.89

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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.