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Finding the Fourth Proportional to 22,978.06, 34,469.21 and 8,939.14

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Solution

The fourth proportional to 22,978.06, 34,469.21 and 8,939.14 is: 13,409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.06 : 34,469.21 = 8,939.14 : x
  2. Step 2: Convert to fraction form
    22,978.06/34,469.21 = 8,939.14/x
  3. Step 3: Cross multiply
    22,978.06x = 34,469.21 × 8,939.14
  4. Step 4: Simplify right side
    22,978.06x = 308,125,223.94
  5. Step 5: Solve for x
    x = 308,125,223.94/22,978.06
  6. Step 6: Final answer
    x = 13,409.54

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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.