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Finding the Fourth Proportional to 2,137.40, 3,206.12 and 676.68

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Solution

The fourth proportional to 2,137.40, 3,206.12 and 676.68 is: 1,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.40 : 3,206.12 = 676.68 : x
  2. Step 2: Convert to fraction form
    2,137.40/3,206.12 = 676.68/x
  3. Step 3: Cross multiply
    2,137.40x = 3,206.12 × 676.68
  4. Step 4: Simplify right side
    2,137.40x = 2,169,517.28
  5. Step 5: Solve for x
    x = 2,169,517.28/2,137.40
  6. Step 6: Final answer
    x = 1,015.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.