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Finding the Fourth Proportional to 2,746.70, 4,120.75 and 798.90

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Solution

The fourth proportional to 2,746.70, 4,120.75 and 798.90 is: 1,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,746.70 : 4,120.75 = 798.90 : x
  2. Step 2: Convert to fraction form
    2,746.70/4,120.75 = 798.90/x
  3. Step 3: Cross multiply
    2,746.70x = 4,120.75 × 798.90
  4. Step 4: Simplify right side
    2,746.70x = 3,292,079.47
  5. Step 5: Solve for x
    x = 3,292,079.47/2,746.70
  6. Step 6: Final answer
    x = 1,198.56

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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.