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Finding the Fourth Proportional to 2,728.23, 4,092.21 and 780.42

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Solution

The fourth proportional to 2,728.23, 4,092.21 and 780.42 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.23 : 4,092.21 = 780.42 : x
  2. Step 2: Convert to fraction form
    2,728.23/4,092.21 = 780.42/x
  3. Step 3: Cross multiply
    2,728.23x = 4,092.21 × 780.42
  4. Step 4: Simplify right side
    2,728.23x = 3,193,642.53
  5. Step 5: Solve for x
    x = 3,193,642.53/2,728.23
  6. Step 6: Final answer
    x = 1,170.59

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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.