Home / 2,105.52-3,153.96-2,001.84

Finding the Fourth Proportional to 2,105.52, 3,153.96 and 2,001.84

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Solution

The fourth proportional to 2,105.52, 3,153.96 and 2,001.84 is: 2,998.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.52 : 3,153.96 = 2,001.84 : x
  2. Step 2: Convert to fraction form
    2,105.52/3,153.96 = 2,001.84/x
  3. Step 3: Cross multiply
    2,105.52x = 3,153.96 × 2,001.84
  4. Step 4: Simplify right side
    2,105.52x = 6,313,723.29
  5. Step 5: Solve for x
    x = 6,313,723.29/2,105.52
  6. Step 6: Final answer
    x = 2,998.65

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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.