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Finding the Fourth Proportional to 6,129.92, 9,245.92 and 5,408.64

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Solution

The fourth proportional to 6,129.92, 9,245.92 and 5,408.64 is: 8,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.92 : 9,245.92 = 5,408.64 : x
  2. Step 2: Convert to fraction form
    6,129.92/9,245.92 = 5,408.64/x
  3. Step 3: Cross multiply
    6,129.92x = 9,245.92 × 5,408.64
  4. Step 4: Simplify right side
    6,129.92x = 50,007,852.75
  5. Step 5: Solve for x
    x = 50,007,852.75/6,129.92
  6. Step 6: Final answer
    x = 8,157.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.