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Finding the Fourth Proportional to 1,960.65, 2,940.78 and 1,220.43

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Solution

The fourth proportional to 1,960.65, 2,940.78 and 1,220.43 is: 1,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,960.65 : 2,940.78 = 1,220.43 : x
  2. Step 2: Convert to fraction form
    1,960.65/2,940.78 = 1,220.43/x
  3. Step 3: Cross multiply
    1,960.65x = 2,940.78 × 1,220.43
  4. Step 4: Simplify right side
    1,960.65x = 3,589,016.14
  5. Step 5: Solve for x
    x = 3,589,016.14/1,960.65
  6. Step 6: Final answer
    x = 1,830.52

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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.