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Finding the Fourth Proportional to 2,728.64, 4,092.96 and 780.68

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Solution

The fourth proportional to 2,728.64, 4,092.96 and 780.68 is: 1,171.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.64 : 4,092.96 = 780.68 : x
  2. Step 2: Convert to fraction form
    2,728.64/4,092.96 = 780.68/x
  3. Step 3: Cross multiply
    2,728.64x = 4,092.96 × 780.68
  4. Step 4: Simplify right side
    2,728.64x = 3,195,292.01
  5. Step 5: Solve for x
    x = 3,195,292.01/2,728.64
  6. Step 6: Final answer
    x = 1,171.02

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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.