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Finding the Fourth Proportional to 9,227, 13,840.50 and 3,071

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Solution

The fourth proportional to 9,227, 13,840.50 and 3,071 is: 4,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227 : 13,840.50 = 3,071 : x
  2. Step 2: Convert to fraction form
    9,227/13,840.50 = 3,071/x
  3. Step 3: Cross multiply
    9,227x = 13,840.50 × 3,071
  4. Step 4: Simplify right side
    9,227x = 42,504,175.50
  5. Step 5: Solve for x
    x = 42,504,175.50/9,227
  6. Step 6: Final answer
    x = 4,606.50

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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.