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Finding the Fourth Proportional to 5,393.92, 8,091.12 and 2,107.84

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Solution

The fourth proportional to 5,393.92, 8,091.12 and 2,107.84 is: 3,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.92 : 8,091.12 = 2,107.84 : x
  2. Step 2: Convert to fraction form
    5,393.92/8,091.12 = 2,107.84/x
  3. Step 3: Cross multiply
    5,393.92x = 8,091.12 × 2,107.84
  4. Step 4: Simplify right side
    5,393.92x = 17,054,786.38
  5. Step 5: Solve for x
    x = 17,054,786.38/5,393.92
  6. Step 6: Final answer
    x = 3,161.85

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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.