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Finding the Fourth Proportional to 6,944.64, 10,392.12 and 6,481.20

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Solution

The fourth proportional to 6,944.64, 10,392.12 and 6,481.20 is: 9,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.64 : 10,392.12 = 6,481.20 : x
  2. Step 2: Convert to fraction form
    6,944.64/10,392.12 = 6,481.20/x
  3. Step 3: Cross multiply
    6,944.64x = 10,392.12 × 6,481.20
  4. Step 4: Simplify right side
    6,944.64x = 67,353,408.14
  5. Step 5: Solve for x
    x = 67,353,408.14/6,944.64
  6. Step 6: Final answer
    x = 9,698.62

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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.