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Finding the Fourth Proportional to 18,626.82, 27,944.14 and 5,478.09

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Solution

The fourth proportional to 18,626.82, 27,944.14 and 5,478.09 is: 8,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626.82 : 27,944.14 = 5,478.09 : x
  2. Step 2: Convert to fraction form
    18,626.82/27,944.14 = 5,478.09/x
  3. Step 3: Cross multiply
    18,626.82x = 27,944.14 × 5,478.09
  4. Step 4: Simplify right side
    18,626.82x = 153,080,513.89
  5. Step 5: Solve for x
    x = 153,080,513.89/18,626.82
  6. Step 6: Final answer
    x = 8,218.28

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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.