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Finding the Fourth Proportional to 3,449.91, 4,756.41 and 2,819.82

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Solution

The fourth proportional to 3,449.91, 4,756.41 and 2,819.82 is: 3,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.91 : 4,756.41 = 2,819.82 : x
  2. Step 2: Convert to fraction form
    3,449.91/4,756.41 = 2,819.82/x
  3. Step 3: Cross multiply
    3,449.91x = 4,756.41 × 2,819.82
  4. Step 4: Simplify right side
    3,449.91x = 13,412,220.05
  5. Step 5: Solve for x
    x = 13,412,220.05/3,449.91
  6. Step 6: Final answer
    x = 3,887.70

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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.