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Finding the Fourth Proportional to 3,879.76, 5,819.64 and 3,301.42

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Solution

The fourth proportional to 3,879.76, 5,819.64 and 3,301.42 is: 4,952.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.76 : 5,819.64 = 3,301.42 : x
  2. Step 2: Convert to fraction form
    3,879.76/5,819.64 = 3,301.42/x
  3. Step 3: Cross multiply
    3,879.76x = 5,819.64 × 3,301.42
  4. Step 4: Simplify right side
    3,879.76x = 19,213,075.89
  5. Step 5: Solve for x
    x = 19,213,075.89/3,879.76
  6. Step 6: Final answer
    x = 4,952.13

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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.