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Finding the Fourth Proportional to 2,728.13, 4,092.21 and 676.13

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Solution

The fourth proportional to 2,728.13, 4,092.21 and 676.13 is: 1,014.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.13 : 4,092.21 = 676.13 : x
  2. Step 2: Convert to fraction form
    2,728.13/4,092.21 = 676.13/x
  3. Step 3: Cross multiply
    2,728.13x = 4,092.21 × 676.13
  4. Step 4: Simplify right side
    2,728.13x = 2,766,845.49
  5. Step 5: Solve for x
    x = 2,766,845.49/2,728.13
  6. Step 6: Final answer
    x = 1,014.19

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1.5x scale

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.