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Finding the Fourth Proportional to 2,200, 3,297.72 and 738.16

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Solution

The fourth proportional to 2,200, 3,297.72 and 738.16 is: 1,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,297.72 = 738.16 : x
  2. Step 2: Convert to fraction form
    2,200/3,297.72 = 738.16/x
  3. Step 3: Cross multiply
    2,200x = 3,297.72 × 738.16
  4. Step 4: Simplify right side
    2,200x = 2,434,245.00
  5. Step 5: Solve for x
    x = 2,434,245.00/2,200
  6. Step 6: Final answer
    x = 1,106.47

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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.