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Finding the Fourth Proportional to 1,989.97, 2,986.55 and 1,168.94

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Solution

The fourth proportional to 1,989.97, 2,986.55 and 1,168.94 is: 1,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.97 : 2,986.55 = 1,168.94 : x
  2. Step 2: Convert to fraction form
    1,989.97/2,986.55 = 1,168.94/x
  3. Step 3: Cross multiply
    1,989.97x = 2,986.55 × 1,168.94
  4. Step 4: Simplify right side
    1,989.97x = 3,491,093.54
  5. Step 5: Solve for x
    x = 3,491,093.54/1,989.97
  6. Step 6: Final answer
    x = 1,754.34

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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.