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Finding the Fourth Proportional to 26,982.40, 40,474.80 and 9,212.80

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Solution

The fourth proportional to 26,982.40, 40,474.80 and 9,212.80 is: 13,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,982.40 : 40,474.80 = 9,212.80 : x
  2. Step 2: Convert to fraction form
    26,982.40/40,474.80 = 9,212.80/x
  3. Step 3: Cross multiply
    26,982.40x = 40,474.80 × 9,212.80
  4. Step 4: Simplify right side
    26,982.40x = 372,886,237.44
  5. Step 5: Solve for x
    x = 372,886,237.44/26,982.40
  6. Step 6: Final answer
    x = 13,819.61

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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.