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Finding the Fourth Proportional to 2,879, 3,972.66 and 1,619.88

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Solution

The fourth proportional to 2,879, 3,972.66 and 1,619.88 is: 2,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879 : 3,972.66 = 1,619.88 : x
  2. Step 2: Convert to fraction form
    2,879/3,972.66 = 1,619.88/x
  3. Step 3: Cross multiply
    2,879x = 3,972.66 × 1,619.88
  4. Step 4: Simplify right side
    2,879x = 6,435,232.48
  5. Step 5: Solve for x
    x = 6,435,232.48/2,879
  6. Step 6: Final answer
    x = 2,235.23

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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.