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Finding the Fourth Proportional to 2,750.28, 3,791.64 and 1,962.96

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Solution

The fourth proportional to 2,750.28, 3,791.64 and 1,962.96 is: 2,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.28 : 3,791.64 = 1,962.96 : x
  2. Step 2: Convert to fraction form
    2,750.28/3,791.64 = 1,962.96/x
  3. Step 3: Cross multiply
    2,750.28x = 3,791.64 × 1,962.96
  4. Step 4: Simplify right side
    2,750.28x = 7,442,837.65
  5. Step 5: Solve for x
    x = 7,442,837.65/2,750.28
  6. Step 6: Final answer
    x = 2,706.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.