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Finding the Fourth Proportional to 2,728.64, 4,092.02 and 780.32

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Solution

The fourth proportional to 2,728.64, 4,092.02 and 780.32 is: 1,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.64 : 4,092.02 = 780.32 : x
  2. Step 2: Convert to fraction form
    2,728.64/4,092.02 = 780.32/x
  3. Step 3: Cross multiply
    2,728.64x = 4,092.02 × 780.32
  4. Step 4: Simplify right side
    2,728.64x = 3,193,085.05
  5. Step 5: Solve for x
    x = 3,193,085.05/2,728.64
  6. Step 6: Final answer
    x = 1,170.21

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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.