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Finding the Fourth Proportional to 7,889.94, 11,834.64 and 3,208.56

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Solution

The fourth proportional to 7,889.94, 11,834.64 and 3,208.56 is: 4,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.94 : 11,834.64 = 3,208.56 : x
  2. Step 2: Convert to fraction form
    7,889.94/11,834.64 = 3,208.56/x
  3. Step 3: Cross multiply
    7,889.94x = 11,834.64 × 3,208.56
  4. Step 4: Simplify right side
    7,889.94x = 37,972,152.52
  5. Step 5: Solve for x
    x = 37,972,152.52/7,889.94
  6. Step 6: Final answer
    x = 4,812.73

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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.