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Finding the Fourth Proportional to 2,751.49, 4,126.78 and 996.18

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Solution

The fourth proportional to 2,751.49, 4,126.78 and 996.18 is: 1,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.49 : 4,126.78 = 996.18 : x
  2. Step 2: Convert to fraction form
    2,751.49/4,126.78 = 996.18/x
  3. Step 3: Cross multiply
    2,751.49x = 4,126.78 × 996.18
  4. Step 4: Simplify right side
    2,751.49x = 4,111,015.70
  5. Step 5: Solve for x
    x = 4,111,015.70/2,751.49
  6. Step 6: Final answer
    x = 1,494.11

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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.