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Finding the Fourth Proportional to 14,622, 21,933 and 3,678

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Solution

The fourth proportional to 14,622, 21,933 and 3,678 is: 5,517

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,622 : 21,933 = 3,678 : x
  2. Step 2: Convert to fraction form
    14,622/21,933 = 3,678/x
  3. Step 3: Cross multiply
    14,622x = 21,933 × 3,678
  4. Step 4: Simplify right side
    14,622x = 80,669,574
  5. Step 5: Solve for x
    x = 80,669,574/14,622
  6. Step 6: Final answer
    x = 5,517

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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.