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Finding the Fourth Proportional to 13,744, 20,616.14 and 3,355.75

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Solution

The fourth proportional to 13,744, 20,616.14 and 3,355.75 is: 5,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744 : 20,616.14 = 3,355.75 : x
  2. Step 2: Convert to fraction form
    13,744/20,616.14 = 3,355.75/x
  3. Step 3: Cross multiply
    13,744x = 20,616.14 × 3,355.75
  4. Step 4: Simplify right side
    13,744x = 69,182,611.81
  5. Step 5: Solve for x
    x = 69,182,611.81/13,744
  6. Step 6: Final answer
    x = 5,033.66

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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.