Home / 2,137.26-3,204.05-838.42

Finding the Fourth Proportional to 2,137.26, 3,204.05 and 838.42

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Solution

The fourth proportional to 2,137.26, 3,204.05 and 838.42 is: 1,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.26 : 3,204.05 = 838.42 : x
  2. Step 2: Convert to fraction form
    2,137.26/3,204.05 = 838.42/x
  3. Step 3: Cross multiply
    2,137.26x = 3,204.05 × 838.42
  4. Step 4: Simplify right side
    2,137.26x = 2,686,339.60
  5. Step 5: Solve for x
    x = 2,686,339.60/2,137.26
  6. Step 6: Final answer
    x = 1,256.91

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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.