Home / 2,105.76-3,154.32-2,079.84

Finding the Fourth Proportional to 2,105.76, 3,154.32 and 2,079.84

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Solution

The fourth proportional to 2,105.76, 3,154.32 and 2,079.84 is: 3,115.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.76 : 3,154.32 = 2,079.84 : x
  2. Step 2: Convert to fraction form
    2,105.76/3,154.32 = 2,079.84/x
  3. Step 3: Cross multiply
    2,105.76x = 3,154.32 × 2,079.84
  4. Step 4: Simplify right side
    2,105.76x = 6,560,480.91
  5. Step 5: Solve for x
    x = 6,560,480.91/2,105.76
  6. Step 6: Final answer
    x = 3,115.49

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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.