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Finding the Fourth Proportional to 13,853.64, 20,788.02 and 8,021.64

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Solution

The fourth proportional to 13,853.64, 20,788.02 and 8,021.64 is: 12,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.64 : 20,788.02 = 8,021.64 : x
  2. Step 2: Convert to fraction form
    13,853.64/20,788.02 = 8,021.64/x
  3. Step 3: Cross multiply
    13,853.64x = 20,788.02 × 8,021.64
  4. Step 4: Simplify right side
    13,853.64x = 166,754,012.75
  5. Step 5: Solve for x
    x = 166,754,012.75/13,853.64
  6. Step 6: Final answer
    x = 12,036.84

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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.