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Finding the Fourth Proportional to 2,728.19, 4,092.42 and 780.54

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Solution

The fourth proportional to 2,728.19, 4,092.42 and 780.54 is: 1,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.19 : 4,092.42 = 780.54 : x
  2. Step 2: Convert to fraction form
    2,728.19/4,092.42 = 780.54/x
  3. Step 3: Cross multiply
    2,728.19x = 4,092.42 × 780.54
  4. Step 4: Simplify right side
    2,728.19x = 3,194,297.51
  5. Step 5: Solve for x
    x = 3,194,297.51/2,728.19
  6. Step 6: Final answer
    x = 1,170.85

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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.