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Finding the Fourth Proportional to 19,811, 27,339.99 and 11,427.50

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Solution

The fourth proportional to 19,811, 27,339.99 and 11,427.50 is: 15,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811 : 27,339.99 = 11,427.50 : x
  2. Step 2: Convert to fraction form
    19,811/27,339.99 = 11,427.50/x
  3. Step 3: Cross multiply
    19,811x = 27,339.99 × 11,427.50
  4. Step 4: Simplify right side
    19,811x = 312,427,735.73
  5. Step 5: Solve for x
    x = 312,427,735.73/19,811
  6. Step 6: Final answer
    x = 15,770.42

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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.