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Finding the Fourth Proportional to 2,645.66, 3,967.21 and 796.43

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Solution

The fourth proportional to 2,645.66, 3,967.21 and 796.43 is: 1,194.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.66 : 3,967.21 = 796.43 : x
  2. Step 2: Convert to fraction form
    2,645.66/3,967.21 = 796.43/x
  3. Step 3: Cross multiply
    2,645.66x = 3,967.21 × 796.43
  4. Step 4: Simplify right side
    2,645.66x = 3,159,615.97
  5. Step 5: Solve for x
    x = 3,159,615.97/2,645.66
  6. Step 6: Final answer
    x = 1,194.26

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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.