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Finding the Fourth Proportional to 5,191.97, 7,789.18 and 2,072.15

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Solution

The fourth proportional to 5,191.97, 7,789.18 and 2,072.15 is: 3,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.97 : 7,789.18 = 2,072.15 : x
  2. Step 2: Convert to fraction form
    5,191.97/7,789.18 = 2,072.15/x
  3. Step 3: Cross multiply
    5,191.97x = 7,789.18 × 2,072.15
  4. Step 4: Simplify right side
    5,191.97x = 16,140,305.21
  5. Step 5: Solve for x
    x = 16,140,305.21/5,191.97
  6. Step 6: Final answer
    x = 3,108.71

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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.