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Finding the Fourth Proportional to 18,482, 27,706.08 and 6,786.32

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Solution

The fourth proportional to 18,482, 27,706.08 and 6,786.32 is: 10,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482 : 27,706.08 = 6,786.32 : x
  2. Step 2: Convert to fraction form
    18,482/27,706.08 = 6,786.32/x
  3. Step 3: Cross multiply
    18,482x = 27,706.08 × 6,786.32
  4. Step 4: Simplify right side
    18,482x = 188,022,324.83
  5. Step 5: Solve for x
    x = 188,022,324.83/18,482
  6. Step 6: Final answer
    x = 10,173.27

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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.