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Finding the Fourth Proportional to 3,163.67, 4,746.21 and 1,474.21

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Solution

The fourth proportional to 3,163.67, 4,746.21 and 1,474.21 is: 2,211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.67 : 4,746.21 = 1,474.21 : x
  2. Step 2: Convert to fraction form
    3,163.67/4,746.21 = 1,474.21/x
  3. Step 3: Cross multiply
    3,163.67x = 4,746.21 × 1,474.21
  4. Step 4: Simplify right side
    3,163.67x = 6,996,879.14
  5. Step 5: Solve for x
    x = 6,996,879.14/3,163.67
  6. Step 6: Final answer
    x = 2,211.64

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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.