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Finding the Fourth Proportional to 6,408.60, 9,600.60 and 4,940.52

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Solution

The fourth proportional to 6,408.60, 9,600.60 and 4,940.52 is: 7,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.60 : 9,600.60 = 4,940.52 : x
  2. Step 2: Convert to fraction form
    6,408.60/9,600.60 = 4,940.52/x
  3. Step 3: Cross multiply
    6,408.60x = 9,600.60 × 4,940.52
  4. Step 4: Simplify right side
    6,408.60x = 47,431,956.31
  5. Step 5: Solve for x
    x = 47,431,956.31/6,408.60
  6. Step 6: Final answer
    x = 7,401.30

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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.