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Finding the Fourth Proportional to 2,135.97, 3,206.79 and 1,829.79

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Solution

The fourth proportional to 2,135.97, 3,206.79 and 1,829.79 is: 2,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.97 : 3,206.79 = 1,829.79 : x
  2. Step 2: Convert to fraction form
    2,135.97/3,206.79 = 1,829.79/x
  3. Step 3: Cross multiply
    2,135.97x = 3,206.79 × 1,829.79
  4. Step 4: Simplify right side
    2,135.97x = 5,867,752.27
  5. Step 5: Solve for x
    x = 5,867,752.27/2,135.97
  6. Step 6: Final answer
    x = 2,747.11

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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.