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Finding the Fourth Proportional to 12,101.44, 18,121 and 7,174.56

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Solution

The fourth proportional to 12,101.44, 18,121 and 7,174.56 is: 10,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.44 : 18,121 = 7,174.56 : x
  2. Step 2: Convert to fraction form
    12,101.44/18,121 = 7,174.56/x
  3. Step 3: Cross multiply
    12,101.44x = 18,121 × 7,174.56
  4. Step 4: Simplify right side
    12,101.44x = 130,010,201.76
  5. Step 5: Solve for x
    x = 130,010,201.76/12,101.44
  6. Step 6: Final answer
    x = 10,743.37

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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.