Home / 2,099.80-3,144.82-1,000.64

Finding the Fourth Proportional to 2,099.80, 3,144.82 and 1,000.64

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Solution

The fourth proportional to 2,099.80, 3,144.82 and 1,000.64 is: 1,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.80 : 3,144.82 = 1,000.64 : x
  2. Step 2: Convert to fraction form
    2,099.80/3,144.82 = 1,000.64/x
  3. Step 3: Cross multiply
    2,099.80x = 3,144.82 × 1,000.64
  4. Step 4: Simplify right side
    2,099.80x = 3,146,832.68
  5. Step 5: Solve for x
    x = 3,146,832.68/2,099.80
  6. Step 6: Final answer
    x = 1,498.63

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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.