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Finding the Fourth Proportional to 13,858.81, 20,788.23 and 3,863.16

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Solution

The fourth proportional to 13,858.81, 20,788.23 and 3,863.16 is: 5,794.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.81 : 20,788.23 = 3,863.16 : x
  2. Step 2: Convert to fraction form
    13,858.81/20,788.23 = 3,863.16/x
  3. Step 3: Cross multiply
    13,858.81x = 20,788.23 × 3,863.16
  4. Step 4: Simplify right side
    13,858.81x = 80,308,258.61
  5. Step 5: Solve for x
    x = 80,308,258.61/13,858.81
  6. Step 6: Final answer
    x = 5,794.74

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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.