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Finding the Fourth Proportional to 2,759.50, 4,138.37 and 910.27

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Solution

The fourth proportional to 2,759.50, 4,138.37 and 910.27 is: 1,365.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.50 : 4,138.37 = 910.27 : x
  2. Step 2: Convert to fraction form
    2,759.50/4,138.37 = 910.27/x
  3. Step 3: Cross multiply
    2,759.50x = 4,138.37 × 910.27
  4. Step 4: Simplify right side
    2,759.50x = 3,767,034.06
  5. Step 5: Solve for x
    x = 3,767,034.06/2,759.50
  6. Step 6: Final answer
    x = 1,365.11

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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.