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Finding the Fourth Proportional to 8,974.89, 12,383.93 and 5,198.41

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Solution

The fourth proportional to 8,974.89, 12,383.93 and 5,198.41 is: 7,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.89 : 12,383.93 = 5,198.41 : x
  2. Step 2: Convert to fraction form
    8,974.89/12,383.93 = 5,198.41/x
  3. Step 3: Cross multiply
    8,974.89x = 12,383.93 × 5,198.41
  4. Step 4: Simplify right side
    8,974.89x = 64,376,745.55
  5. Step 5: Solve for x
    x = 64,376,745.55/8,974.89
  6. Step 6: Final answer
    x = 7,172.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.