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Finding the Fourth Proportional to 3,984.05, 5,976.75 and 1,211.00

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Solution

The fourth proportional to 3,984.05, 5,976.75 and 1,211.00 is: 1,816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.05 : 5,976.75 = 1,211.00 : x
  2. Step 2: Convert to fraction form
    3,984.05/5,976.75 = 1,211.00/x
  3. Step 3: Cross multiply
    3,984.05x = 5,976.75 × 1,211.00
  4. Step 4: Simplify right side
    3,984.05x = 7,237,814.37
  5. Step 5: Solve for x
    x = 7,237,814.37/3,984.05
  6. Step 6: Final answer
    x = 1,816.70

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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.