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Finding the Fourth Proportional to 2,109.44, 3,163.86 and 1,013.51

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Solution

The fourth proportional to 2,109.44, 3,163.86 and 1,013.51 is: 1,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.44 : 3,163.86 = 1,013.51 : x
  2. Step 2: Convert to fraction form
    2,109.44/3,163.86 = 1,013.51/x
  3. Step 3: Cross multiply
    2,109.44x = 3,163.86 × 1,013.51
  4. Step 4: Simplify right side
    2,109.44x = 3,206,611.66
  5. Step 5: Solve for x
    x = 3,206,611.66/2,109.44
  6. Step 6: Final answer
    x = 1,520.12

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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.