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Finding the Fourth Proportional to 21,800, 32,705.12 and 7,208

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Solution

The fourth proportional to 21,800, 32,705.12 and 7,208 is: 10,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 32,705.12 = 7,208 : x
  2. Step 2: Convert to fraction form
    21,800/32,705.12 = 7,208/x
  3. Step 3: Cross multiply
    21,800x = 32,705.12 × 7,208
  4. Step 4: Simplify right side
    21,800x = 235,738,504.96
  5. Step 5: Solve for x
    x = 235,738,504.96/21,800
  6. Step 6: Final answer
    x = 10,813.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.