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Finding the Fourth Proportional to 6,409.32, 9,600.21 and 3,481.44

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Solution

The fourth proportional to 6,409.32, 9,600.21 and 3,481.44 is: 5,214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.32 : 9,600.21 = 3,481.44 : x
  2. Step 2: Convert to fraction form
    6,409.32/9,600.21 = 3,481.44/x
  3. Step 3: Cross multiply
    6,409.32x = 9,600.21 × 3,481.44
  4. Step 4: Simplify right side
    6,409.32x = 33,422,555.10
  5. Step 5: Solve for x
    x = 33,422,555.10/6,409.32
  6. Step 6: Final answer
    x = 5,214.68

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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.