Home / 2,108.15-3,163.14-809.32

Finding the Fourth Proportional to 2,108.15, 3,163.14 and 809.32

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Solution

The fourth proportional to 2,108.15, 3,163.14 and 809.32 is: 1,214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.15 : 3,163.14 = 809.32 : x
  2. Step 2: Convert to fraction form
    2,108.15/3,163.14 = 809.32/x
  3. Step 3: Cross multiply
    2,108.15x = 3,163.14 × 809.32
  4. Step 4: Simplify right side
    2,108.15x = 2,559,972.60
  5. Step 5: Solve for x
    x = 2,559,972.60/2,108.15
  6. Step 6: Final answer
    x = 1,214.32

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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.