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Finding the Fourth Proportional to 3,163.70, 4,746.62 and 1,992.34

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Solution

The fourth proportional to 3,163.70, 4,746.62 and 1,992.34 is: 2,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.70 : 4,746.62 = 1,992.34 : x
  2. Step 2: Convert to fraction form
    3,163.70/4,746.62 = 1,992.34/x
  3. Step 3: Cross multiply
    3,163.70x = 4,746.62 × 1,992.34
  4. Step 4: Simplify right side
    3,163.70x = 9,456,880.89
  5. Step 5: Solve for x
    x = 9,456,880.89/3,163.70
  6. Step 6: Final answer
    x = 2,989.18

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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.