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Finding the Fourth Proportional to 13,398.10, 20,093.12 and 8,408.04

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Solution

The fourth proportional to 13,398.10, 20,093.12 and 8,408.04 is: 12,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.10 : 20,093.12 = 8,408.04 : x
  2. Step 2: Convert to fraction form
    13,398.10/20,093.12 = 8,408.04/x
  3. Step 3: Cross multiply
    13,398.10x = 20,093.12 × 8,408.04
  4. Step 4: Simplify right side
    13,398.10x = 168,943,756.68
  5. Step 5: Solve for x
    x = 168,943,756.68/13,398.10
  6. Step 6: Final answer
    x = 12,609.53

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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.