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Finding the Fourth Proportional to 3,137.50, 4,706.34 and 829

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Solution

The fourth proportional to 3,137.50, 4,706.34 and 829 is: 1,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.50 : 4,706.34 = 829 : x
  2. Step 2: Convert to fraction form
    3,137.50/4,706.34 = 829/x
  3. Step 3: Cross multiply
    3,137.50x = 4,706.34 × 829
  4. Step 4: Simplify right side
    3,137.50x = 3,901,555.86
  5. Step 5: Solve for x
    x = 3,901,555.86/3,137.50
  6. Step 6: Final answer
    x = 1,243.52

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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.