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Finding the Fourth Proportional to 3,661.94, 5,491.84 and 2,101.67

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Solution

The fourth proportional to 3,661.94, 5,491.84 and 2,101.67 is: 3,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.94 : 5,491.84 = 2,101.67 : x
  2. Step 2: Convert to fraction form
    3,661.94/5,491.84 = 2,101.67/x
  3. Step 3: Cross multiply
    3,661.94x = 5,491.84 × 2,101.67
  4. Step 4: Simplify right side
    3,661.94x = 11,542,043.85
  5. Step 5: Solve for x
    x = 11,542,043.85/3,661.94
  6. Step 6: Final answer
    x = 3,151.90

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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.