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Finding the Fourth Proportional to 13,954, 20,940.60 and 5,746

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Solution

The fourth proportional to 13,954, 20,940.60 and 5,746 is: 8,622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954 : 20,940.60 = 5,746 : x
  2. Step 2: Convert to fraction form
    13,954/20,940.60 = 5,746/x
  3. Step 3: Cross multiply
    13,954x = 20,940.60 × 5,746
  4. Step 4: Simplify right side
    13,954x = 120,324,687.60
  5. Step 5: Solve for x
    x = 120,324,687.60/13,954
  6. Step 6: Final answer
    x = 8,622.95

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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.