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Finding the Fourth Proportional to 15,198.18, 20,971.22 and 8,483.96

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Solution

The fourth proportional to 15,198.18, 20,971.22 and 8,483.96 is: 11,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.18 : 20,971.22 = 8,483.96 : x
  2. Step 2: Convert to fraction form
    15,198.18/20,971.22 = 8,483.96/x
  3. Step 3: Cross multiply
    15,198.18x = 20,971.22 × 8,483.96
  4. Step 4: Simplify right side
    15,198.18x = 177,918,844.36
  5. Step 5: Solve for x
    x = 177,918,844.36/15,198.18
  6. Step 6: Final answer
    x = 11,706.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.