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Finding the Fourth Proportional to 5,191.97, 7,784.78 and 2,072.43

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Solution

The fourth proportional to 5,191.97, 7,784.78 and 2,072.43 is: 3,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.97 : 7,784.78 = 2,072.43 : x
  2. Step 2: Convert to fraction form
    5,191.97/7,784.78 = 2,072.43/x
  3. Step 3: Cross multiply
    5,191.97x = 7,784.78 × 2,072.43
  4. Step 4: Simplify right side
    5,191.97x = 16,133,401.25
  5. Step 5: Solve for x
    x = 16,133,401.25/5,191.97
  6. Step 6: Final answer
    x = 3,107.38

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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.