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Finding the Fourth Proportional to 2,751.15, 3,796 and 1,755.79

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Solution

The fourth proportional to 2,751.15, 3,796 and 1,755.79 is: 2,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.15 : 3,796 = 1,755.79 : x
  2. Step 2: Convert to fraction form
    2,751.15/3,796 = 1,755.79/x
  3. Step 3: Cross multiply
    2,751.15x = 3,796 × 1,755.79
  4. Step 4: Simplify right side
    2,751.15x = 6,664,978.84
  5. Step 5: Solve for x
    x = 6,664,978.84/2,751.15
  6. Step 6: Final answer
    x = 2,422.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.