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Finding the Fourth Proportional to 2,107.58, 3,163.53 and 1,012.46

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Solution

The fourth proportional to 2,107.58, 3,163.53 and 1,012.46 is: 1,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.58 : 3,163.53 = 1,012.46 : x
  2. Step 2: Convert to fraction form
    2,107.58/3,163.53 = 1,012.46/x
  3. Step 3: Cross multiply
    2,107.58x = 3,163.53 × 1,012.46
  4. Step 4: Simplify right side
    2,107.58x = 3,202,947.58
  5. Step 5: Solve for x
    x = 3,202,947.58/2,107.58
  6. Step 6: Final answer
    x = 1,519.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.