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Finding the Fourth Proportional to 13,621, 18,784.50 and 8,835.96

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Solution

The fourth proportional to 13,621, 18,784.50 and 8,835.96 is: 12,185.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621 : 18,784.50 = 8,835.96 : x
  2. Step 2: Convert to fraction form
    13,621/18,784.50 = 8,835.96/x
  3. Step 3: Cross multiply
    13,621x = 18,784.50 × 8,835.96
  4. Step 4: Simplify right side
    13,621x = 165,979,090.62
  5. Step 5: Solve for x
    x = 165,979,090.62/13,621
  6. Step 6: Final answer
    x = 12,185.53

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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.