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Finding the Fourth Proportional to 13,891.65, 20,811.30 and 6,863.43

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Solution

The fourth proportional to 13,891.65, 20,811.30 and 6,863.43 is: 10,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.65 : 20,811.30 = 6,863.43 : x
  2. Step 2: Convert to fraction form
    13,891.65/20,811.30 = 6,863.43/x
  3. Step 3: Cross multiply
    13,891.65x = 20,811.30 × 6,863.43
  4. Step 4: Simplify right side
    13,891.65x = 142,836,900.76
  5. Step 5: Solve for x
    x = 142,836,900.76/13,891.65
  6. Step 6: Final answer
    x = 10,282.21

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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.