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Finding the Fourth Proportional to 13,661.60, 18,845.87 and 8,624.00

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Solution

The fourth proportional to 13,661.60, 18,845.87 and 8,624.00 is: 11,896.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.60 : 18,845.87 = 8,624.00 : x
  2. Step 2: Convert to fraction form
    13,661.60/18,845.87 = 8,624.00/x
  3. Step 3: Cross multiply
    13,661.60x = 18,845.87 × 8,624.00
  4. Step 4: Simplify right side
    13,661.60x = 162,526,786.87
  5. Step 5: Solve for x
    x = 162,526,786.87/13,661.60
  6. Step 6: Final answer
    x = 11,896.62

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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.