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Finding the Fourth Proportional to 7,190.94, 10,784.28 and 3,239.92

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Solution

The fourth proportional to 7,190.94, 10,784.28 and 3,239.92 is: 4,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.94 : 10,784.28 = 3,239.92 : x
  2. Step 2: Convert to fraction form
    7,190.94/10,784.28 = 3,239.92/x
  3. Step 3: Cross multiply
    7,190.94x = 10,784.28 × 3,239.92
  4. Step 4: Simplify right side
    7,190.94x = 34,940,230.09
  5. Step 5: Solve for x
    x = 34,940,230.09/7,190.94
  6. Step 6: Final answer
    x = 4,858.92

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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.