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Finding the Fourth Proportional to 7,978.75, 11,969.33 and 2,783.41

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Solution

The fourth proportional to 7,978.75, 11,969.33 and 2,783.41 is: 4,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.75 : 11,969.33 = 2,783.41 : x
  2. Step 2: Convert to fraction form
    7,978.75/11,969.33 = 2,783.41/x
  3. Step 3: Cross multiply
    7,978.75x = 11,969.33 × 2,783.41
  4. Step 4: Simplify right side
    7,978.75x = 33,315,552.82
  5. Step 5: Solve for x
    x = 33,315,552.82/7,978.75
  6. Step 6: Final answer
    x = 4,175.54

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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.