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Finding the Fourth Proportional to 13,588.37, 18,744 and 8,544.60

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Solution

The fourth proportional to 13,588.37, 18,744 and 8,544.60 is: 11,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.37 : 18,744 = 8,544.60 : x
  2. Step 2: Convert to fraction form
    13,588.37/18,744 = 8,544.60/x
  3. Step 3: Cross multiply
    13,588.37x = 18,744 × 8,544.60
  4. Step 4: Simplify right side
    13,588.37x = 160,159,982.40
  5. Step 5: Solve for x
    x = 160,159,982.40/13,588.37
  6. Step 6: Final answer
    x = 11,786.55

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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.