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Finding the Fourth Proportional to 1,786.98, 2,679.66 and 1,161.66

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Solution

The fourth proportional to 1,786.98, 2,679.66 and 1,161.66 is: 1,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.98 : 2,679.66 = 1,161.66 : x
  2. Step 2: Convert to fraction form
    1,786.98/2,679.66 = 1,161.66/x
  3. Step 3: Cross multiply
    1,786.98x = 2,679.66 × 1,161.66
  4. Step 4: Simplify right side
    1,786.98x = 3,112,845.54
  5. Step 5: Solve for x
    x = 3,112,845.54/1,786.98
  6. Step 6: Final answer
    x = 1,741.96

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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.