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Finding the Fourth Proportional to 15,198.85, 20,976.85 and 8,911.23

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Solution

The fourth proportional to 15,198.85, 20,976.85 and 8,911.23 is: 12,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.85 : 20,976.85 = 8,911.23 : x
  2. Step 2: Convert to fraction form
    15,198.85/20,976.85 = 8,911.23/x
  3. Step 3: Cross multiply
    15,198.85x = 20,976.85 × 8,911.23
  4. Step 4: Simplify right side
    15,198.85x = 186,929,535.03
  5. Step 5: Solve for x
    x = 186,929,535.03/15,198.85
  6. Step 6: Final answer
    x = 12,298.93

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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.