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Finding the Fourth Proportional to 13,596.48, 20,396.88 and 8,408.16

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Solution

The fourth proportional to 13,596.48, 20,396.88 and 8,408.16 is: 12,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.48 : 20,396.88 = 8,408.16 : x
  2. Step 2: Convert to fraction form
    13,596.48/20,396.88 = 8,408.16/x
  3. Step 3: Cross multiply
    13,596.48x = 20,396.88 × 8,408.16
  4. Step 4: Simplify right side
    13,596.48x = 171,500,230.54
  5. Step 5: Solve for x
    x = 171,500,230.54/13,596.48
  6. Step 6: Final answer
    x = 12,613.58

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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.