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Finding the Fourth Proportional to 21,856.50, 30,162 and 11,920.50

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Solution

The fourth proportional to 21,856.50, 30,162 and 11,920.50 is: 16,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.50 : 30,162 = 11,920.50 : x
  2. Step 2: Convert to fraction form
    21,856.50/30,162 = 11,920.50/x
  3. Step 3: Cross multiply
    21,856.50x = 30,162 × 11,920.50
  4. Step 4: Simplify right side
    21,856.50x = 359,546,121
  5. Step 5: Solve for x
    x = 359,546,121/21,856.50
  6. Step 6: Final answer
    x = 16,450.31

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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.