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Finding the Fourth Proportional to 3,163.56, 4,747.02 and 2,121

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Solution

The fourth proportional to 3,163.56, 4,747.02 and 2,121 is: 3,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.56 : 4,747.02 = 2,121 : x
  2. Step 2: Convert to fraction form
    3,163.56/4,747.02 = 2,121/x
  3. Step 3: Cross multiply
    3,163.56x = 4,747.02 × 2,121
  4. Step 4: Simplify right side
    3,163.56x = 10,068,429.42
  5. Step 5: Solve for x
    x = 10,068,429.42/3,163.56
  6. Step 6: Final answer
    x = 3,182.63

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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.