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Finding the Fourth Proportional to 13,884, 20,837.64 and 7,224.58

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Solution

The fourth proportional to 13,884, 20,837.64 and 7,224.58 is: 10,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 20,837.64 = 7,224.58 : x
  2. Step 2: Convert to fraction form
    13,884/20,837.64 = 7,224.58/x
  3. Step 3: Cross multiply
    13,884x = 20,837.64 × 7,224.58
  4. Step 4: Simplify right side
    13,884x = 150,543,197.19
  5. Step 5: Solve for x
    x = 150,543,197.19/13,884
  6. Step 6: Final answer
    x = 10,842.93

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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.