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Finding the Fourth Proportional to 6,930.56, 10,408.64 and 6,464.64

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Solution

The fourth proportional to 6,930.56, 10,408.64 and 6,464.64 is: 9,708.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.56 : 10,408.64 = 6,464.64 : x
  2. Step 2: Convert to fraction form
    6,930.56/10,408.64 = 6,464.64/x
  3. Step 3: Cross multiply
    6,930.56x = 10,408.64 × 6,464.64
  4. Step 4: Simplify right side
    6,930.56x = 67,288,110.49
  5. Step 5: Solve for x
    x = 67,288,110.49/6,930.56
  6. Step 6: Final answer
    x = 9,708.90

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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.