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Finding the Fourth Proportional to 2,744.88, 4,116 and 1,282.80

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Solution

The fourth proportional to 2,744.88, 4,116 and 1,282.80 is: 1,923.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.88 : 4,116 = 1,282.80 : x
  2. Step 2: Convert to fraction form
    2,744.88/4,116 = 1,282.80/x
  3. Step 3: Cross multiply
    2,744.88x = 4,116 × 1,282.80
  4. Step 4: Simplify right side
    2,744.88x = 5,280,004.80
  5. Step 5: Solve for x
    x = 5,280,004.80/2,744.88
  6. Step 6: Final answer
    x = 1,923.58

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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.