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Finding the Fourth Proportional to 2,791.22, 4,186.20 and 842.96

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Solution

The fourth proportional to 2,791.22, 4,186.20 and 842.96 is: 1,264.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.22 : 4,186.20 = 842.96 : x
  2. Step 2: Convert to fraction form
    2,791.22/4,186.20 = 842.96/x
  3. Step 3: Cross multiply
    2,791.22x = 4,186.20 × 842.96
  4. Step 4: Simplify right side
    2,791.22x = 3,528,799.15
  5. Step 5: Solve for x
    x = 3,528,799.15/2,791.22
  6. Step 6: Final answer
    x = 1,264.25

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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.