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Finding the Fourth Proportional to 2,728.42, 4,092.62 and 780.77

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Solution

The fourth proportional to 2,728.42, 4,092.62 and 780.77 is: 1,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.42 : 4,092.62 = 780.77 : x
  2. Step 2: Convert to fraction form
    2,728.42/4,092.62 = 780.77/x
  3. Step 3: Cross multiply
    2,728.42x = 4,092.62 × 780.77
  4. Step 4: Simplify right side
    2,728.42x = 3,195,401.25
  5. Step 5: Solve for x
    x = 3,195,401.25/2,728.42
  6. Step 6: Final answer
    x = 1,171.16

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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.