Home / 2,137.78-3,204.49-1,211.38

Finding the Fourth Proportional to 2,137.78, 3,204.49 and 1,211.38

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Solution

The fourth proportional to 2,137.78, 3,204.49 and 1,211.38 is: 1,815.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.78 : 3,204.49 = 1,211.38 : x
  2. Step 2: Convert to fraction form
    2,137.78/3,204.49 = 1,211.38/x
  3. Step 3: Cross multiply
    2,137.78x = 3,204.49 × 1,211.38
  4. Step 4: Simplify right side
    2,137.78x = 3,881,866.36
  5. Step 5: Solve for x
    x = 3,881,866.36/2,137.78
  6. Step 6: Final answer
    x = 1,815.84

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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.