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Finding the Fourth Proportional to 3,137.44, 4,706.64 and 829.12

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Solution

The fourth proportional to 3,137.44, 4,706.64 and 829.12 is: 1,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.44 : 4,706.64 = 829.12 : x
  2. Step 2: Convert to fraction form
    3,137.44/4,706.64 = 829.12/x
  3. Step 3: Cross multiply
    3,137.44x = 4,706.64 × 829.12
  4. Step 4: Simplify right side
    3,137.44x = 3,902,369.36
  5. Step 5: Solve for x
    x = 3,902,369.36/3,137.44
  6. Step 6: Final answer
    x = 1,243.81

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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.