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Finding the Fourth Proportional to 2,786.82, 4,172.94 and 1,960.62

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Solution

The fourth proportional to 2,786.82, 4,172.94 and 1,960.62 is: 2,935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.82 : 4,172.94 = 1,960.62 : x
  2. Step 2: Convert to fraction form
    2,786.82/4,172.94 = 1,960.62/x
  3. Step 3: Cross multiply
    2,786.82x = 4,172.94 × 1,960.62
  4. Step 4: Simplify right side
    2,786.82x = 8,181,549.62
  5. Step 5: Solve for x
    x = 8,181,549.62/2,786.82
  6. Step 6: Final answer
    x = 2,935.80

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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.