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Finding the Fourth Proportional to 13,913.64, 20,863.98 and 8,071.92

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Solution

The fourth proportional to 13,913.64, 20,863.98 and 8,071.92 is: 12,104.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.64 : 20,863.98 = 8,071.92 : x
  2. Step 2: Convert to fraction form
    13,913.64/20,863.98 = 8,071.92/x
  3. Step 3: Cross multiply
    13,913.64x = 20,863.98 × 8,071.92
  4. Step 4: Simplify right side
    13,913.64x = 168,412,377.44
  5. Step 5: Solve for x
    x = 168,412,377.44/13,913.64
  6. Step 6: Final answer
    x = 12,104.12

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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.