Home / 5,227.70-7,842.56-2,107.98

Finding the Fourth Proportional to 5,227.70, 7,842.56 and 2,107.98

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Solution

The fourth proportional to 5,227.70, 7,842.56 and 2,107.98 is: 3,162.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.70 : 7,842.56 = 2,107.98 : x
  2. Step 2: Convert to fraction form
    5,227.70/7,842.56 = 2,107.98/x
  3. Step 3: Cross multiply
    5,227.70x = 7,842.56 × 2,107.98
  4. Step 4: Simplify right side
    5,227.70x = 16,531,949.09
  5. Step 5: Solve for x
    x = 16,531,949.09/5,227.70
  6. Step 6: Final answer
    x = 3,162.38

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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.