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Finding the Fourth Proportional to 19,705.68, 27,193.68 and 11,322

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Solution

The fourth proportional to 19,705.68, 27,193.68 and 11,322 is: 15,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.68 : 27,193.68 = 11,322 : x
  2. Step 2: Convert to fraction form
    19,705.68/27,193.68 = 11,322/x
  3. Step 3: Cross multiply
    19,705.68x = 27,193.68 × 11,322
  4. Step 4: Simplify right side
    19,705.68x = 307,886,844.96
  5. Step 5: Solve for x
    x = 307,886,844.96/19,705.68
  6. Step 6: Final answer
    x = 15,624.27

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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.