Home / 2,137.16-3,206.19-676.43

Finding the Fourth Proportional to 2,137.16, 3,206.19 and 676.43

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Solution

The fourth proportional to 2,137.16, 3,206.19 and 676.43 is: 1,014.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.16 : 3,206.19 = 676.43 : x
  2. Step 2: Convert to fraction form
    2,137.16/3,206.19 = 676.43/x
  3. Step 3: Cross multiply
    2,137.16x = 3,206.19 × 676.43
  4. Step 4: Simplify right side
    2,137.16x = 2,168,747.07
  5. Step 5: Solve for x
    x = 2,168,747.07/2,137.16
  6. Step 6: Final answer
    x = 1,014.78

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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.