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Finding the Fourth Proportional to 5,197.88, 7,798.62 and 3,247.76

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Solution

The fourth proportional to 5,197.88, 7,798.62 and 3,247.76 is: 4,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.88 : 7,798.62 = 3,247.76 : x
  2. Step 2: Convert to fraction form
    5,197.88/7,798.62 = 3,247.76/x
  3. Step 3: Cross multiply
    5,197.88x = 7,798.62 × 3,247.76
  4. Step 4: Simplify right side
    5,197.88x = 25,328,046.09
  5. Step 5: Solve for x
    x = 25,328,046.09/5,197.88
  6. Step 6: Final answer
    x = 4,872.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.