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Finding the Fourth Proportional to 15,198.97, 20,971.20 and 8,821.87

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Solution

The fourth proportional to 15,198.97, 20,971.20 and 8,821.87 is: 12,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.97 : 20,971.20 = 8,821.87 : x
  2. Step 2: Convert to fraction form
    15,198.97/20,971.20 = 8,821.87/x
  3. Step 3: Cross multiply
    15,198.97x = 20,971.20 × 8,821.87
  4. Step 4: Simplify right side
    15,198.97x = 185,005,200.14
  5. Step 5: Solve for x
    x = 185,005,200.14/15,198.97
  6. Step 6: Final answer
    x = 12,172.22

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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.