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Finding the Fourth Proportional to 13,410.72, 18,504 and 8,104.50

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Solution

The fourth proportional to 13,410.72, 18,504 and 8,104.50 is: 11,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.72 : 18,504 = 8,104.50 : x
  2. Step 2: Convert to fraction form
    13,410.72/18,504 = 8,104.50/x
  3. Step 3: Cross multiply
    13,410.72x = 18,504 × 8,104.50
  4. Step 4: Simplify right side
    13,410.72x = 149,965,668
  5. Step 5: Solve for x
    x = 149,965,668/13,410.72
  6. Step 6: Final answer
    x = 11,182.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.