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Finding the Fourth Proportional to 18,649.85, 27,976.31 and 8,120.22

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Solution

The fourth proportional to 18,649.85, 27,976.31 and 8,120.22 is: 12,181.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,649.85 : 27,976.31 = 8,120.22 : x
  2. Step 2: Convert to fraction form
    18,649.85/27,976.31 = 8,120.22/x
  3. Step 3: Cross multiply
    18,649.85x = 27,976.31 × 8,120.22
  4. Step 4: Simplify right side
    18,649.85x = 227,173,812.29
  5. Step 5: Solve for x
    x = 227,173,812.29/18,649.85
  6. Step 6: Final answer
    x = 12,181.00

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1.5x scale

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.