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Finding the Fourth Proportional to 2,728.91, 4,093.37 and 781.12

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Solution

The fourth proportional to 2,728.91, 4,093.37 and 781.12 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.91 : 4,093.37 = 781.12 : x
  2. Step 2: Convert to fraction form
    2,728.91/4,093.37 = 781.12/x
  3. Step 3: Cross multiply
    2,728.91x = 4,093.37 × 781.12
  4. Step 4: Simplify right side
    2,728.91x = 3,197,409.27
  5. Step 5: Solve for x
    x = 3,197,409.27/2,728.91
  6. Step 6: Final answer
    x = 1,171.68

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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.