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Finding the Fourth Proportional to 13,884, 20,827.30 and 4,523.64

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Solution

The fourth proportional to 13,884, 20,827.30 and 4,523.64 is: 6,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884 : 20,827.30 = 4,523.64 : x
  2. Step 2: Convert to fraction form
    13,884/20,827.30 = 4,523.64/x
  3. Step 3: Cross multiply
    13,884x = 20,827.30 × 4,523.64
  4. Step 4: Simplify right side
    13,884x = 94,215,207.37
  5. Step 5: Solve for x
    x = 94,215,207.37/13,884
  6. Step 6: Final answer
    x = 6,785.88

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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.