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Finding the Fourth Proportional to 7,622, 11,433 and 3,005

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Solution

The fourth proportional to 7,622, 11,433 and 3,005 is: 4,507.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,622 : 11,433 = 3,005 : x
  2. Step 2: Convert to fraction form
    7,622/11,433 = 3,005/x
  3. Step 3: Cross multiply
    7,622x = 11,433 × 3,005
  4. Step 4: Simplify right side
    7,622x = 34,356,165
  5. Step 5: Solve for x
    x = 34,356,165/7,622
  6. Step 6: Final answer
    x = 4,507.50

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Why These Related Problems?

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