Home / 3,137.25-4,705.97-828.75

Finding the Fourth Proportional to 3,137.25, 4,705.97 and 828.75

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Solution

The fourth proportional to 3,137.25, 4,705.97 and 828.75 is: 1,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.25 : 4,705.97 = 828.75 : x
  2. Step 2: Convert to fraction form
    3,137.25/4,705.97 = 828.75/x
  3. Step 3: Cross multiply
    3,137.25x = 4,705.97 × 828.75
  4. Step 4: Simplify right side
    3,137.25x = 3,900,068.49
  5. Step 5: Solve for x
    x = 3,900,068.49/3,137.25
  6. Step 6: Final answer
    x = 1,243.15

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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.