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Finding the Fourth Proportional to 20,883, 28,815 and 13,805.64

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Solution

The fourth proportional to 20,883, 28,815 and 13,805.64 is: 19,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,883 : 28,815 = 13,805.64 : x
  2. Step 2: Convert to fraction form
    20,883/28,815 = 13,805.64/x
  3. Step 3: Cross multiply
    20,883x = 28,815 × 13,805.64
  4. Step 4: Simplify right side
    20,883x = 397,809,516.60
  5. Step 5: Solve for x
    x = 397,809,516.60/20,883
  6. Step 6: Final answer
    x = 19,049.44

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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.