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Finding the Fourth Proportional to 3,984.17, 5,976.07 and 1,210.82

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Solution

The fourth proportional to 3,984.17, 5,976.07 and 1,210.82 is: 1,816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.17 : 5,976.07 = 1,210.82 : x
  2. Step 2: Convert to fraction form
    3,984.17/5,976.07 = 1,210.82/x
  3. Step 3: Cross multiply
    3,984.17x = 5,976.07 × 1,210.82
  4. Step 4: Simplify right side
    3,984.17x = 7,235,912.17
  5. Step 5: Solve for x
    x = 7,235,912.17/3,984.17
  6. Step 6: Final answer
    x = 1,816.17

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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.