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Finding the Fourth Proportional to 18,122.93, 27,183.16 and 4,974.20

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Solution

The fourth proportional to 18,122.93, 27,183.16 and 4,974.20 is: 7,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.93 : 27,183.16 = 4,974.20 : x
  2. Step 2: Convert to fraction form
    18,122.93/27,183.16 = 4,974.20/x
  3. Step 3: Cross multiply
    18,122.93x = 27,183.16 × 4,974.20
  4. Step 4: Simplify right side
    18,122.93x = 135,214,474.47
  5. Step 5: Solve for x
    x = 135,214,474.47/18,122.93
  6. Step 6: Final answer
    x = 7,460.96

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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.