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Finding the Fourth Proportional to 2,872.57, 3,965.81 and 1,879.58

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Solution

The fourth proportional to 2,872.57, 3,965.81 and 1,879.58 is: 2,594.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.57 : 3,965.81 = 1,879.58 : x
  2. Step 2: Convert to fraction form
    2,872.57/3,965.81 = 1,879.58/x
  3. Step 3: Cross multiply
    2,872.57x = 3,965.81 × 1,879.58
  4. Step 4: Simplify right side
    2,872.57x = 7,454,053.13
  5. Step 5: Solve for x
    x = 7,454,053.13/2,872.57
  6. Step 6: Final answer
    x = 2,594.91

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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.