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Finding the Fourth Proportional to 2,819.64, 3,891.12 and 1,577.64

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Solution

The fourth proportional to 2,819.64, 3,891.12 and 1,577.64 is: 2,177.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.64 : 3,891.12 = 1,577.64 : x
  2. Step 2: Convert to fraction form
    2,819.64/3,891.12 = 1,577.64/x
  3. Step 3: Cross multiply
    2,819.64x = 3,891.12 × 1,577.64
  4. Step 4: Simplify right side
    2,819.64x = 6,138,786.56
  5. Step 5: Solve for x
    x = 6,138,786.56/2,819.64
  6. Step 6: Final answer
    x = 2,177.15

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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.