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Finding the Fourth Proportional to 2,297.76, 3,171.62 and 1,469.76

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Solution

The fourth proportional to 2,297.76, 3,171.62 and 1,469.76 is: 2,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.76 : 3,171.62 = 1,469.76 : x
  2. Step 2: Convert to fraction form
    2,297.76/3,171.62 = 1,469.76/x
  3. Step 3: Cross multiply
    2,297.76x = 3,171.62 × 1,469.76
  4. Step 4: Simplify right side
    2,297.76x = 4,661,520.21
  5. Step 5: Solve for x
    x = 4,661,520.21/2,297.76
  6. Step 6: Final answer
    x = 2,028.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.