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Finding the Fourth Proportional to 2,205.87, 3,309.21 and 820.16

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Solution

The fourth proportional to 2,205.87, 3,309.21 and 820.16 is: 1,230.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.87 : 3,309.21 = 820.16 : x
  2. Step 2: Convert to fraction form
    2,205.87/3,309.21 = 820.16/x
  3. Step 3: Cross multiply
    2,205.87x = 3,309.21 × 820.16
  4. Step 4: Simplify right side
    2,205.87x = 2,714,089.95
  5. Step 5: Solve for x
    x = 2,714,089.95/2,205.87
  6. Step 6: Final answer
    x = 1,230.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.