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Finding the Fourth Proportional to 5,192.74, 7,782.43 and 1,901.91

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Solution

The fourth proportional to 5,192.74, 7,782.43 and 1,901.91 is: 2,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.74 : 7,782.43 = 1,901.91 : x
  2. Step 2: Convert to fraction form
    5,192.74/7,782.43 = 1,901.91/x
  3. Step 3: Cross multiply
    5,192.74x = 7,782.43 × 1,901.91
  4. Step 4: Simplify right side
    5,192.74x = 14,801,481.44
  5. Step 5: Solve for x
    x = 14,801,481.44/5,192.74
  6. Step 6: Final answer
    x = 2,850.42

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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.