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Finding the Fourth Proportional to 13,884, 20,824.47 and 3,495.75

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Solution

The fourth proportional to 13,884, 20,824.47 and 3,495.75 is: 5,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 20,824.47 = 3,495.75 : x
  2. Step 2: Convert to fraction form
    13,884/20,824.47 = 3,495.75/x
  3. Step 3: Cross multiply
    13,884x = 20,824.47 × 3,495.75
  4. Step 4: Simplify right side
    13,884x = 72,797,141.00
  5. Step 5: Solve for x
    x = 72,797,141.00/13,884
  6. Step 6: Final answer
    x = 5,243.24

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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.