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Finding the Fourth Proportional to 19,813.50, 27,342.63 and 11,856.87

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Solution

The fourth proportional to 19,813.50, 27,342.63 and 11,856.87 is: 16,362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.50 : 27,342.63 = 11,856.87 : x
  2. Step 2: Convert to fraction form
    19,813.50/27,342.63 = 11,856.87/x
  3. Step 3: Cross multiply
    19,813.50x = 27,342.63 × 11,856.87
  4. Step 4: Simplify right side
    19,813.50x = 324,198,009.37
  5. Step 5: Solve for x
    x = 324,198,009.37/19,813.50
  6. Step 6: Final answer
    x = 16,362.48

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