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Finding the Fourth Proportional to 5,197.98, 7,797.75 and 1,910.82

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Solution

The fourth proportional to 5,197.98, 7,797.75 and 1,910.82 is: 2,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.98 : 7,797.75 = 1,910.82 : x
  2. Step 2: Convert to fraction form
    5,197.98/7,797.75 = 1,910.82/x
  3. Step 3: Cross multiply
    5,197.98x = 7,797.75 × 1,910.82
  4. Step 4: Simplify right side
    5,197.98x = 14,900,096.66
  5. Step 5: Solve for x
    x = 14,900,096.66/5,197.98
  6. Step 6: Final answer
    x = 2,866.52

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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.