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Finding the Fourth Proportional to 3,131.43, 4,696.44 and 939.87

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Solution

The fourth proportional to 3,131.43, 4,696.44 and 939.87 is: 1,409.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131.43 : 4,696.44 = 939.87 : x
  2. Step 2: Convert to fraction form
    3,131.43/4,696.44 = 939.87/x
  3. Step 3: Cross multiply
    3,131.43x = 4,696.44 × 939.87
  4. Step 4: Simplify right side
    3,131.43x = 4,414,043.06
  5. Step 5: Solve for x
    x = 4,414,043.06/3,131.43
  6. Step 6: Final answer
    x = 1,409.59

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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.