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Finding the Fourth Proportional to 13,605.37, 20,408.49 and 3,745.37

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Solution

The fourth proportional to 13,605.37, 20,408.49 and 3,745.37 is: 5,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.37 : 20,408.49 = 3,745.37 : x
  2. Step 2: Convert to fraction form
    13,605.37/20,408.49 = 3,745.37/x
  3. Step 3: Cross multiply
    13,605.37x = 20,408.49 × 3,745.37
  4. Step 4: Simplify right side
    13,605.37x = 76,437,397.21
  5. Step 5: Solve for x
    x = 76,437,397.21/13,605.37
  6. Step 6: Final answer
    x = 5,618.18

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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.