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Finding the Fourth Proportional to 2,380, 3,286.02 and 1,450.12

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Solution

The fourth proportional to 2,380, 3,286.02 and 1,450.12 is: 2,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380 : 3,286.02 = 1,450.12 : x
  2. Step 2: Convert to fraction form
    2,380/3,286.02 = 1,450.12/x
  3. Step 3: Cross multiply
    2,380x = 3,286.02 × 1,450.12
  4. Step 4: Simplify right side
    2,380x = 4,765,123.32
  5. Step 5: Solve for x
    x = 4,765,123.32/2,380
  6. Step 6: Final answer
    x = 2,002.15

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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.