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Finding the Fourth Proportional to 5,057.80, 6,980 and 2,819.69

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Solution

The fourth proportional to 5,057.80, 6,980 and 2,819.69 is: 3,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.80 : 6,980 = 2,819.69 : x
  2. Step 2: Convert to fraction form
    5,057.80/6,980 = 2,819.69/x
  3. Step 3: Cross multiply
    5,057.80x = 6,980 × 2,819.69
  4. Step 4: Simplify right side
    5,057.80x = 19,681,436.20
  5. Step 5: Solve for x
    x = 19,681,436.20/5,057.80
  6. Step 6: Final answer
    x = 3,891.30

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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.