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Finding the Fourth Proportional to 18,661.46, 27,982.40 and 5,512.05

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Solution

The fourth proportional to 18,661.46, 27,982.40 and 5,512.05 is: 8,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.46 : 27,982.40 = 5,512.05 : x
  2. Step 2: Convert to fraction form
    18,661.46/27,982.40 = 5,512.05/x
  3. Step 3: Cross multiply
    18,661.46x = 27,982.40 × 5,512.05
  4. Step 4: Simplify right side
    18,661.46x = 154,240,360.36
  5. Step 5: Solve for x
    x = 154,240,360.36/18,661.46
  6. Step 6: Final answer
    x = 8,265.18

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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.