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Finding the Fourth Proportional to 2,998.64, 4,137.99 and 2,003.78

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Solution

The fourth proportional to 2,998.64, 4,137.99 and 2,003.78 is: 2,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.64 : 4,137.99 = 2,003.78 : x
  2. Step 2: Convert to fraction form
    2,998.64/4,137.99 = 2,003.78/x
  3. Step 3: Cross multiply
    2,998.64x = 4,137.99 × 2,003.78
  4. Step 4: Simplify right side
    2,998.64x = 8,291,621.60
  5. Step 5: Solve for x
    x = 8,291,621.60/2,998.64
  6. Step 6: Final answer
    x = 2,765.13

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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.