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Finding the Fourth Proportional to 33,048.70, 49,471.80 and 18,212.20

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Solution

The fourth proportional to 33,048.70, 49,471.80 and 18,212.20 is: 27,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048.70 : 49,471.80 = 18,212.20 : x
  2. Step 2: Convert to fraction form
    33,048.70/49,471.80 = 18,212.20/x
  3. Step 3: Cross multiply
    33,048.70x = 49,471.80 × 18,212.20
  4. Step 4: Simplify right side
    33,048.70x = 900,990,315.96
  5. Step 5: Solve for x
    x = 900,990,315.96/33,048.70
  6. Step 6: Final answer
    x = 27,262.50

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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.