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Finding the Fourth Proportional to 2,758, 3,805.98 and 1,579.20

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Solution

The fourth proportional to 2,758, 3,805.98 and 1,579.20 is: 2,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758 : 3,805.98 = 1,579.20 : x
  2. Step 2: Convert to fraction form
    2,758/3,805.98 = 1,579.20/x
  3. Step 3: Cross multiply
    2,758x = 3,805.98 × 1,579.20
  4. Step 4: Simplify right side
    2,758x = 6,010,403.62
  5. Step 5: Solve for x
    x = 6,010,403.62/2,758
  6. Step 6: Final answer
    x = 2,179.26

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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.