Home / 2,107.23-3,161.43-646.41

Finding the Fourth Proportional to 2,107.23, 3,161.43 and 646.41

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Solution

The fourth proportional to 2,107.23, 3,161.43 and 646.41 is: 969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.23 : 3,161.43 = 646.41 : x
  2. Step 2: Convert to fraction form
    2,107.23/3,161.43 = 646.41/x
  3. Step 3: Cross multiply
    2,107.23x = 3,161.43 × 646.41
  4. Step 4: Simplify right side
    2,107.23x = 2,043,579.97
  5. Step 5: Solve for x
    x = 2,043,579.97/2,107.23
  6. Step 6: Final answer
    x = 969.79

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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.