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Finding the Fourth Proportional to 2,003.78, 3,007.22 and 1,310.26

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Solution

The fourth proportional to 2,003.78, 3,007.22 and 1,310.26 is: 1,966.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.78 : 3,007.22 = 1,310.26 : x
  2. Step 2: Convert to fraction form
    2,003.78/3,007.22 = 1,310.26/x
  3. Step 3: Cross multiply
    2,003.78x = 3,007.22 × 1,310.26
  4. Step 4: Simplify right side
    2,003.78x = 3,940,240.08
  5. Step 5: Solve for x
    x = 3,940,240.08/2,003.78
  6. Step 6: Final answer
    x = 1,966.40

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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.