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Finding the Fourth Proportional to 2,674.47, 4,012.31 and 943.09

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Solution

The fourth proportional to 2,674.47, 4,012.31 and 943.09 is: 1,414.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.47 : 4,012.31 = 943.09 : x
  2. Step 2: Convert to fraction form
    2,674.47/4,012.31 = 943.09/x
  3. Step 3: Cross multiply
    2,674.47x = 4,012.31 × 943.09
  4. Step 4: Simplify right side
    2,674.47x = 3,783,969.44
  5. Step 5: Solve for x
    x = 3,783,969.44/2,674.47
  6. Step 6: Final answer
    x = 1,414.85

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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.