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Finding the Fourth Proportional to 3,299.87, 4,950 and 1,451.85

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Solution

The fourth proportional to 3,299.87, 4,950 and 1,451.85 is: 2,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.87 : 4,950 = 1,451.85 : x
  2. Step 2: Convert to fraction form
    3,299.87/4,950 = 1,451.85/x
  3. Step 3: Cross multiply
    3,299.87x = 4,950 × 1,451.85
  4. Step 4: Simplify right side
    3,299.87x = 7,186,657.50
  5. Step 5: Solve for x
    x = 7,186,657.50/3,299.87
  6. Step 6: Final answer
    x = 2,177.86

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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.