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Finding the Fourth Proportional to 3,137.63, 4,706.71 and 829.13

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Solution

The fourth proportional to 3,137.63, 4,706.71 and 829.13 is: 1,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.63 : 4,706.71 = 829.13 : x
  2. Step 2: Convert to fraction form
    3,137.63/4,706.71 = 829.13/x
  3. Step 3: Cross multiply
    3,137.63x = 4,706.71 × 829.13
  4. Step 4: Simplify right side
    3,137.63x = 3,902,474.46
  5. Step 5: Solve for x
    x = 3,902,474.46/3,137.63
  6. Step 6: Final answer
    x = 1,243.77

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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.