Home / 2,108.32-3,163.80-809.92

Finding the Fourth Proportional to 2,108.32, 3,163.80 and 809.92

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Solution

The fourth proportional to 2,108.32, 3,163.80 and 809.92 is: 1,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.32 : 3,163.80 = 809.92 : x
  2. Step 2: Convert to fraction form
    2,108.32/3,163.80 = 809.92/x
  3. Step 3: Cross multiply
    2,108.32x = 3,163.80 × 809.92
  4. Step 4: Simplify right side
    2,108.32x = 2,562,424.90
  5. Step 5: Solve for x
    x = 2,562,424.90/2,108.32
  6. Step 6: Final answer
    x = 1,215.39

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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.