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Finding the Fourth Proportional to 5,057.84, 6,980.04 and 2,819.84

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Solution

The fourth proportional to 5,057.84, 6,980.04 and 2,819.84 is: 3,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.84 : 6,980.04 = 2,819.84 : x
  2. Step 2: Convert to fraction form
    5,057.84/6,980.04 = 2,819.84/x
  3. Step 3: Cross multiply
    5,057.84x = 6,980.04 × 2,819.84
  4. Step 4: Simplify right side
    5,057.84x = 19,682,595.99
  5. Step 5: Solve for x
    x = 19,682,595.99/5,057.84
  6. Step 6: Final answer
    x = 3,891.50

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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.