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Finding the Fourth Proportional to 13,605.39, 20,408.19 and 3,745.21

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Solution

The fourth proportional to 13,605.39, 20,408.19 and 3,745.21 is: 5,617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.39 : 20,408.19 = 3,745.21 : x
  2. Step 2: Convert to fraction form
    13,605.39/20,408.19 = 3,745.21/x
  3. Step 3: Cross multiply
    13,605.39x = 20,408.19 × 3,745.21
  4. Step 4: Simplify right side
    13,605.39x = 76,432,957.27
  5. Step 5: Solve for x
    x = 76,432,957.27/13,605.39
  6. Step 6: Final answer
    x = 5,617.84

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1.5x scale

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.