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Finding the Fourth Proportional to 7,441.92, 11,162.88 and 2,828.16

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Solution

The fourth proportional to 7,441.92, 11,162.88 and 2,828.16 is: 4,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.92 : 11,162.88 = 2,828.16 : x
  2. Step 2: Convert to fraction form
    7,441.92/11,162.88 = 2,828.16/x
  3. Step 3: Cross multiply
    7,441.92x = 11,162.88 × 2,828.16
  4. Step 4: Simplify right side
    7,441.92x = 31,570,410.70
  5. Step 5: Solve for x
    x = 31,570,410.70/7,441.92
  6. Step 6: Final answer
    x = 4,242.24

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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.