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Finding the Fourth Proportional to 2,747.88, 4,120.74 and 1,448.52

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Solution

The fourth proportional to 2,747.88, 4,120.74 and 1,448.52 is: 2,172.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.88 : 4,120.74 = 1,448.52 : x
  2. Step 2: Convert to fraction form
    2,747.88/4,120.74 = 1,448.52/x
  3. Step 3: Cross multiply
    2,747.88x = 4,120.74 × 1,448.52
  4. Step 4: Simplify right side
    2,747.88x = 5,968,974.30
  5. Step 5: Solve for x
    x = 5,968,974.30/2,747.88
  6. Step 6: Final answer
    x = 2,172.21

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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.