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Finding the Fourth Proportional to 2,743, 4,114.50 and 795.22

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Solution

The fourth proportional to 2,743, 4,114.50 and 795.22 is: 1,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743 : 4,114.50 = 795.22 : x
  2. Step 2: Convert to fraction form
    2,743/4,114.50 = 795.22/x
  3. Step 3: Cross multiply
    2,743x = 4,114.50 × 795.22
  4. Step 4: Simplify right side
    2,743x = 3,271,932.69
  5. Step 5: Solve for x
    x = 3,271,932.69/2,743
  6. Step 6: Final answer
    x = 1,192.83

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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.