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Finding the Fourth Proportional to 7,978.84, 11,945.76 and 4,222.11

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Solution

The fourth proportional to 7,978.84, 11,945.76 and 4,222.11 is: 6,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.84 : 11,945.76 = 4,222.11 : x
  2. Step 2: Convert to fraction form
    7,978.84/11,945.76 = 4,222.11/x
  3. Step 3: Cross multiply
    7,978.84x = 11,945.76 × 4,222.11
  4. Step 4: Simplify right side
    7,978.84x = 50,436,365.47
  5. Step 5: Solve for x
    x = 50,436,365.47/7,978.84
  6. Step 6: Final answer
    x = 6,321.26

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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.