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Finding the Fourth Proportional to 2,137.86, 3,205.62 and 676.62

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Solution

The fourth proportional to 2,137.86, 3,205.62 and 676.62 is: 1,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.86 : 3,205.62 = 676.62 : x
  2. Step 2: Convert to fraction form
    2,137.86/3,205.62 = 676.62/x
  3. Step 3: Cross multiply
    2,137.86x = 3,205.62 × 676.62
  4. Step 4: Simplify right side
    2,137.86x = 2,168,986.60
  5. Step 5: Solve for x
    x = 2,168,986.60/2,137.86
  6. Step 6: Final answer
    x = 1,014.56

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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.