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Finding the Fourth Proportional to 3,984.81, 5,976.81 and 1,211.50

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Solution

The fourth proportional to 3,984.81, 5,976.81 and 1,211.50 is: 1,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.81 : 5,976.81 = 1,211.50 : x
  2. Step 2: Convert to fraction form
    3,984.81/5,976.81 = 1,211.50/x
  3. Step 3: Cross multiply
    3,984.81x = 5,976.81 × 1,211.50
  4. Step 4: Simplify right side
    3,984.81x = 7,240,912.79
  5. Step 5: Solve for x
    x = 7,240,912.79/3,984.81
  6. Step 6: Final answer
    x = 1,817.13

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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.