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Finding the Fourth Proportional to 12,201.36, 18,331.24 and 7,827.36

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Solution

The fourth proportional to 12,201.36, 18,331.24 and 7,827.36 is: 11,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.36 : 18,331.24 = 7,827.36 : x
  2. Step 2: Convert to fraction form
    12,201.36/18,331.24 = 7,827.36/x
  3. Step 3: Cross multiply
    12,201.36x = 18,331.24 × 7,827.36
  4. Step 4: Simplify right side
    12,201.36x = 143,485,214.73
  5. Step 5: Solve for x
    x = 143,485,214.73/12,201.36
  6. Step 6: Final answer
    x = 11,759.77

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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.