Home / 2,106.20-3,156.87-996.32

Finding the Fourth Proportional to 2,106.20, 3,156.87 and 996.32

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Solution

The fourth proportional to 2,106.20, 3,156.87 and 996.32 is: 1,493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.20 : 3,156.87 = 996.32 : x
  2. Step 2: Convert to fraction form
    2,106.20/3,156.87 = 996.32/x
  3. Step 3: Cross multiply
    2,106.20x = 3,156.87 × 996.32
  4. Step 4: Simplify right side
    2,106.20x = 3,145,252.72
  5. Step 5: Solve for x
    x = 3,145,252.72/2,106.20
  6. Step 6: Final answer
    x = 1,493.33

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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.