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Finding the Fourth Proportional to 2,728.66, 4,092.48 and 780.38

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Solution

The fourth proportional to 2,728.66, 4,092.48 and 780.38 is: 1,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.66 : 4,092.48 = 780.38 : x
  2. Step 2: Convert to fraction form
    2,728.66/4,092.48 = 780.38/x
  3. Step 3: Cross multiply
    2,728.66x = 4,092.48 × 780.38
  4. Step 4: Simplify right side
    2,728.66x = 3,193,689.54
  5. Step 5: Solve for x
    x = 3,193,689.54/2,728.66
  6. Step 6: Final answer
    x = 1,170.42

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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.