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Finding the Fourth Proportional to 13,744, 20,607.90 and 5,414.23

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Solution

The fourth proportional to 13,744, 20,607.90 and 5,414.23 is: 8,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744 : 20,607.90 = 5,414.23 : x
  2. Step 2: Convert to fraction form
    13,744/20,607.90 = 5,414.23/x
  3. Step 3: Cross multiply
    13,744x = 20,607.90 × 5,414.23
  4. Step 4: Simplify right side
    13,744x = 111,575,910.42
  5. Step 5: Solve for x
    x = 111,575,910.42/13,744
  6. Step 6: Final answer
    x = 8,118.15

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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.