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Finding the Fourth Proportional to 5,697.83, 7,863 and 3,179.87

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Solution

The fourth proportional to 5,697.83, 7,863 and 3,179.87 is: 4,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.83 : 7,863 = 3,179.87 : x
  2. Step 2: Convert to fraction form
    5,697.83/7,863 = 3,179.87/x
  3. Step 3: Cross multiply
    5,697.83x = 7,863 × 3,179.87
  4. Step 4: Simplify right side
    5,697.83x = 25,003,278.50
  5. Step 5: Solve for x
    x = 25,003,278.50/5,697.83
  6. Step 6: Final answer
    x = 4,388.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.