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Finding the Fourth Proportional to 2,998.90, 4,498.37 and 1,682.45

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Solution

The fourth proportional to 2,998.90, 4,498.37 and 1,682.45 is: 2,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.90 : 4,498.37 = 1,682.45 : x
  2. Step 2: Convert to fraction form
    2,998.90/4,498.37 = 1,682.45/x
  3. Step 3: Cross multiply
    2,998.90x = 4,498.37 × 1,682.45
  4. Step 4: Simplify right side
    2,998.90x = 7,568,274.88
  5. Step 5: Solve for x
    x = 7,568,274.88/2,998.90
  6. Step 6: Final answer
    x = 2,523.68

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1.5x scale

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.