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Finding the Fourth Proportional to 2,998.85, 4,138.42 and 1,672.64

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Solution

The fourth proportional to 2,998.85, 4,138.42 and 1,672.64 is: 2,308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.85 : 4,138.42 = 1,672.64 : x
  2. Step 2: Convert to fraction form
    2,998.85/4,138.42 = 1,672.64/x
  3. Step 3: Cross multiply
    2,998.85x = 4,138.42 × 1,672.64
  4. Step 4: Simplify right side
    2,998.85x = 6,922,088.78
  5. Step 5: Solve for x
    x = 6,922,088.78/2,998.85
  6. Step 6: Final answer
    x = 2,308.25

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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.