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Finding the Fourth Proportional to 8,441.92, 12,662.88 and 3,828.16

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Solution

The fourth proportional to 8,441.92, 12,662.88 and 3,828.16 is: 5,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.92 : 12,662.88 = 3,828.16 : x
  2. Step 2: Convert to fraction form
    8,441.92/12,662.88 = 3,828.16/x
  3. Step 3: Cross multiply
    8,441.92x = 12,662.88 × 3,828.16
  4. Step 4: Simplify right side
    8,441.92x = 48,475,530.70
  5. Step 5: Solve for x
    x = 48,475,530.70/8,441.92
  6. Step 6: Final answer
    x = 5,742.24

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Similar ratio
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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.