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Finding the Fourth Proportional to 2,760.65, 4,141.20 and 786.28

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Solution

The fourth proportional to 2,760.65, 4,141.20 and 786.28 is: 1,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.65 : 4,141.20 = 786.28 : x
  2. Step 2: Convert to fraction form
    2,760.65/4,141.20 = 786.28/x
  3. Step 3: Cross multiply
    2,760.65x = 4,141.20 × 786.28
  4. Step 4: Simplify right side
    2,760.65x = 3,256,122.03
  5. Step 5: Solve for x
    x = 3,256,122.03/2,760.65
  6. Step 6: Final answer
    x = 1,179.48

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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.