Home / 2,137.17-3,205.79-677.35

Finding the Fourth Proportional to 2,137.17, 3,205.79 and 677.35

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Solution

The fourth proportional to 2,137.17, 3,205.79 and 677.35 is: 1,016.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.17 : 3,205.79 = 677.35 : x
  2. Step 2: Convert to fraction form
    2,137.17/3,205.79 = 677.35/x
  3. Step 3: Cross multiply
    2,137.17x = 3,205.79 × 677.35
  4. Step 4: Simplify right side
    2,137.17x = 2,171,441.86
  5. Step 5: Solve for x
    x = 2,171,441.86/2,137.17
  6. Step 6: Final answer
    x = 1,016.04

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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.