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Finding the Fourth Proportional to 3,137.44, 4,706.17 and 828.94

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Solution

The fourth proportional to 3,137.44, 4,706.17 and 828.94 is: 1,243.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.44 : 4,706.17 = 828.94 : x
  2. Step 2: Convert to fraction form
    3,137.44/4,706.17 = 828.94/x
  3. Step 3: Cross multiply
    3,137.44x = 4,706.17 × 828.94
  4. Step 4: Simplify right side
    3,137.44x = 3,901,118.72
  5. Step 5: Solve for x
    x = 3,901,118.72/3,137.44
  6. Step 6: Final answer
    x = 1,243.41

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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.