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Finding the Fourth Proportional to 2,998.86, 4,138.56 and 2,004.54

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Solution

The fourth proportional to 2,998.86, 4,138.56 and 2,004.54 is: 2,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.86 : 4,138.56 = 2,004.54 : x
  2. Step 2: Convert to fraction form
    2,998.86/4,138.56 = 2,004.54/x
  3. Step 3: Cross multiply
    2,998.86x = 4,138.56 × 2,004.54
  4. Step 4: Simplify right side
    2,998.86x = 8,295,909.06
  5. Step 5: Solve for x
    x = 8,295,909.06/2,998.86
  6. Step 6: Final answer
    x = 2,766.35

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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.