Home / 2,682-4,021.26-1,123.05

Finding the Fourth Proportional to 2,682, 4,021.26 and 1,123.05

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Solution

The fourth proportional to 2,682, 4,021.26 and 1,123.05 is: 1,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682 : 4,021.26 = 1,123.05 : x
  2. Step 2: Convert to fraction form
    2,682/4,021.26 = 1,123.05/x
  3. Step 3: Cross multiply
    2,682x = 4,021.26 × 1,123.05
  4. Step 4: Simplify right side
    2,682x = 4,516,076.04
  5. Step 5: Solve for x
    x = 4,516,076.04/2,682
  6. Step 6: Final answer
    x = 1,683.85

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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.