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Finding the Fourth Proportional to 5,057.17, 6,978.90 and 2,819.05

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Solution

The fourth proportional to 5,057.17, 6,978.90 and 2,819.05 is: 3,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.17 : 6,978.90 = 2,819.05 : x
  2. Step 2: Convert to fraction form
    5,057.17/6,978.90 = 2,819.05/x
  3. Step 3: Cross multiply
    5,057.17x = 6,978.90 × 2,819.05
  4. Step 4: Simplify right side
    5,057.17x = 19,673,868.05
  5. Step 5: Solve for x
    x = 19,673,868.05/5,057.17
  6. Step 6: Final answer
    x = 3,890.29

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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.