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Finding the Fourth Proportional to 2,137.25, 3,206.21 and 676.74

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Solution

The fourth proportional to 2,137.25, 3,206.21 and 676.74 is: 1,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.25 : 3,206.21 = 676.74 : x
  2. Step 2: Convert to fraction form
    2,137.25/3,206.21 = 676.74/x
  3. Step 3: Cross multiply
    2,137.25x = 3,206.21 × 676.74
  4. Step 4: Simplify right side
    2,137.25x = 2,169,767.17
  5. Step 5: Solve for x
    x = 2,169,767.17/2,137.25
  6. Step 6: Final answer
    x = 1,015.22

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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.