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Finding the Fourth Proportional to 2,940.47, 4,404.81 and 1,769.85

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Solution

The fourth proportional to 2,940.47, 4,404.81 and 1,769.85 is: 2,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.47 : 4,404.81 = 1,769.85 : x
  2. Step 2: Convert to fraction form
    2,940.47/4,404.81 = 1,769.85/x
  3. Step 3: Cross multiply
    2,940.47x = 4,404.81 × 1,769.85
  4. Step 4: Simplify right side
    2,940.47x = 7,795,859.62
  5. Step 5: Solve for x
    x = 7,795,859.62/2,940.47
  6. Step 6: Final answer
    x = 2,651.23

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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.