Home / 2,004.11-3,005.73-543.27

Finding the Fourth Proportional to 2,004.11, 3,005.73 and 543.27

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Solution

The fourth proportional to 2,004.11, 3,005.73 and 543.27 is: 814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.11 : 3,005.73 = 543.27 : x
  2. Step 2: Convert to fraction form
    2,004.11/3,005.73 = 543.27/x
  3. Step 3: Cross multiply
    2,004.11x = 3,005.73 × 543.27
  4. Step 4: Simplify right side
    2,004.11x = 1,632,922.94
  5. Step 5: Solve for x
    x = 1,632,922.94/2,004.11
  6. Step 6: Final answer
    x = 814.79

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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.