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Finding the Fourth Proportional to 1,791.70, 2,470.22 and 1,161.11

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Solution

The fourth proportional to 1,791.70, 2,470.22 and 1,161.11 is: 1,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.70 : 2,470.22 = 1,161.11 : x
  2. Step 2: Convert to fraction form
    1,791.70/2,470.22 = 1,161.11/x
  3. Step 3: Cross multiply
    1,791.70x = 2,470.22 × 1,161.11
  4. Step 4: Simplify right side
    1,791.70x = 2,868,197.14
  5. Step 5: Solve for x
    x = 2,868,197.14/1,791.70
  6. Step 6: Final answer
    x = 1,600.82

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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.