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Finding the Fourth Proportional to 19,222.92, 28,852.20 and 11,841.80

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Solution

The fourth proportional to 19,222.92, 28,852.20 and 11,841.80 is: 17,773.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,222.92 : 28,852.20 = 11,841.80 : x
  2. Step 2: Convert to fraction form
    19,222.92/28,852.20 = 11,841.80/x
  3. Step 3: Cross multiply
    19,222.92x = 28,852.20 × 11,841.80
  4. Step 4: Simplify right side
    19,222.92x = 341,661,837.70
  5. Step 5: Solve for x
    x = 341,661,837.70/19,222.92
  6. Step 6: Final answer
    x = 17,773.67

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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.