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Finding the Fourth Proportional to 13,408.99, 20,105.65 and 4,046.20

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Solution

The fourth proportional to 13,408.99, 20,105.65 and 4,046.20 is: 6,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,408.99 : 20,105.65 = 4,046.20 : x
  2. Step 2: Convert to fraction form
    13,408.99/20,105.65 = 4,046.20/x
  3. Step 3: Cross multiply
    13,408.99x = 20,105.65 × 4,046.20
  4. Step 4: Simplify right side
    13,408.99x = 81,351,481.03
  5. Step 5: Solve for x
    x = 81,351,481.03/13,408.99
  6. Step 6: Final answer
    x = 6,066.94

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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.