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Finding the Fourth Proportional to 2,759.94, 4,140.27 and 910.44

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Solution

The fourth proportional to 2,759.94, 4,140.27 and 910.44 is: 1,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.94 : 4,140.27 = 910.44 : x
  2. Step 2: Convert to fraction form
    2,759.94/4,140.27 = 910.44/x
  3. Step 3: Cross multiply
    2,759.94x = 4,140.27 × 910.44
  4. Step 4: Simplify right side
    2,759.94x = 3,769,467.42
  5. Step 5: Solve for x
    x = 3,769,467.42/2,759.94
  6. Step 6: Final answer
    x = 1,365.78

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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.