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Finding the Fourth Proportional to 6,336.80, 9,496.90 and 3,408.80

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Solution

The fourth proportional to 6,336.80, 9,496.90 and 3,408.80 is: 5,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.80 : 9,496.90 = 3,408.80 : x
  2. Step 2: Convert to fraction form
    6,336.80/9,496.90 = 3,408.80/x
  3. Step 3: Cross multiply
    6,336.80x = 9,496.90 × 3,408.80
  4. Step 4: Simplify right side
    6,336.80x = 32,373,032.72
  5. Step 5: Solve for x
    x = 32,373,032.72/6,336.80
  6. Step 6: Final answer
    x = 5,108.74

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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.