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Finding the Fourth Proportional to 13,982, 20,974.20 and 4,622

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Solution

The fourth proportional to 13,982, 20,974.20 and 4,622 is: 6,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982 : 20,974.20 = 4,622 : x
  2. Step 2: Convert to fraction form
    13,982/20,974.20 = 4,622/x
  3. Step 3: Cross multiply
    13,982x = 20,974.20 × 4,622
  4. Step 4: Simplify right side
    13,982x = 96,942,752.40
  5. Step 5: Solve for x
    x = 96,942,752.40/13,982
  6. Step 6: Final answer
    x = 6,933.40

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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.