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Finding the Fourth Proportional to 8,223.37, 12,338.15 and 4,938.82

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Solution

The fourth proportional to 8,223.37, 12,338.15 and 4,938.82 is: 7,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.37 : 12,338.15 = 4,938.82 : x
  2. Step 2: Convert to fraction form
    8,223.37/12,338.15 = 4,938.82/x
  3. Step 3: Cross multiply
    8,223.37x = 12,338.15 × 4,938.82
  4. Step 4: Simplify right side
    8,223.37x = 60,935,901.98
  5. Step 5: Solve for x
    x = 60,935,901.98/8,223.37
  6. Step 6: Final answer
    x = 7,410.09

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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.