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Finding the Fourth Proportional to 12,415.44, 18,601.24 and 12,109.28

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Solution

The fourth proportional to 12,415.44, 18,601.24 and 12,109.28 is: 18,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.44 : 18,601.24 = 12,109.28 : x
  2. Step 2: Convert to fraction form
    12,415.44/18,601.24 = 12,109.28/x
  3. Step 3: Cross multiply
    12,415.44x = 18,601.24 × 12,109.28
  4. Step 4: Simplify right side
    12,415.44x = 225,247,623.51
  5. Step 5: Solve for x
    x = 225,247,623.51/12,415.44
  6. Step 6: Final answer
    x = 18,142.54

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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.