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Finding the Fourth Proportional to 2,661.67, 3,992.50 and 1,199.11

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Solution

The fourth proportional to 2,661.67, 3,992.50 and 1,199.11 is: 1,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.67 : 3,992.50 = 1,199.11 : x
  2. Step 2: Convert to fraction form
    2,661.67/3,992.50 = 1,199.11/x
  3. Step 3: Cross multiply
    2,661.67x = 3,992.50 × 1,199.11
  4. Step 4: Simplify right side
    2,661.67x = 4,787,446.68
  5. Step 5: Solve for x
    x = 4,787,446.68/2,661.67
  6. Step 6: Final answer
    x = 1,798.66

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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.