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Finding the Fourth Proportional to 20,808, 28,716.78 and 11,855.88

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Solution

The fourth proportional to 20,808, 28,716.78 and 11,855.88 is: 16,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808 : 28,716.78 = 11,855.88 : x
  2. Step 2: Convert to fraction form
    20,808/28,716.78 = 11,855.88/x
  3. Step 3: Cross multiply
    20,808x = 28,716.78 × 11,855.88
  4. Step 4: Simplify right side
    20,808x = 340,462,697.67
  5. Step 5: Solve for x
    x = 340,462,697.67/20,808
  6. Step 6: Final answer
    x = 16,362.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.