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Finding the Fourth Proportional to 13,884.20, 20,828.10 and 6,867.80

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Solution

The fourth proportional to 13,884.20, 20,828.10 and 6,867.80 is: 10,302.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.20 : 20,828.10 = 6,867.80 : x
  2. Step 2: Convert to fraction form
    13,884.20/20,828.10 = 6,867.80/x
  3. Step 3: Cross multiply
    13,884.20x = 20,828.10 × 6,867.80
  4. Step 4: Simplify right side
    13,884.20x = 143,043,225.18
  5. Step 5: Solve for x
    x = 143,043,225.18/13,884.20
  6. Step 6: Final answer
    x = 10,302.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.