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Finding the Fourth Proportional to 2,728.78, 4,093.07 and 780.98

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Solution

The fourth proportional to 2,728.78, 4,093.07 and 780.98 is: 1,171.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.78 : 4,093.07 = 780.98 : x
  2. Step 2: Convert to fraction form
    2,728.78/4,093.07 = 780.98/x
  3. Step 3: Cross multiply
    2,728.78x = 4,093.07 × 780.98
  4. Step 4: Simplify right side
    2,728.78x = 3,196,581.44
  5. Step 5: Solve for x
    x = 3,196,581.44/2,728.78
  6. Step 6: Final answer
    x = 1,171.43

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1.5x scale

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.