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Finding the Fourth Proportional to 2,079.91, 3,119.75 and 519.92

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Solution

The fourth proportional to 2,079.91, 3,119.75 and 519.92 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.91 : 3,119.75 = 519.92 : x
  2. Step 2: Convert to fraction form
    2,079.91/3,119.75 = 519.92/x
  3. Step 3: Cross multiply
    2,079.91x = 3,119.75 × 519.92
  4. Step 4: Simplify right side
    2,079.91x = 1,622,015.87
  5. Step 5: Solve for x
    x = 1,622,015.87/2,079.91
  6. Step 6: Final answer
    x = 779.85

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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.