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Finding the Fourth Proportional to 2,137.80, 3,205.75 and 676.70

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Solution

The fourth proportional to 2,137.80, 3,205.75 and 676.70 is: 1,014.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.80 : 3,205.75 = 676.70 : x
  2. Step 2: Convert to fraction form
    2,137.80/3,205.75 = 676.70/x
  3. Step 3: Cross multiply
    2,137.80x = 3,205.75 × 676.70
  4. Step 4: Simplify right side
    2,137.80x = 2,169,331.03
  5. Step 5: Solve for x
    x = 2,169,331.03/2,137.80
  6. Step 6: Final answer
    x = 1,014.75

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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.