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Finding the Fourth Proportional to 5,197.98, 7,778.34 and 4,850.40

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Solution

The fourth proportional to 5,197.98, 7,778.34 and 4,850.40 is: 7,258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.98 : 7,778.34 = 4,850.40 : x
  2. Step 2: Convert to fraction form
    5,197.98/7,778.34 = 4,850.40/x
  3. Step 3: Cross multiply
    5,197.98x = 7,778.34 × 4,850.40
  4. Step 4: Simplify right side
    5,197.98x = 37,728,060.34
  5. Step 5: Solve for x
    x = 37,728,060.34/5,197.98
  6. Step 6: Final answer
    x = 7,258.22

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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.