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Finding the Fourth Proportional to 21,200, 31,800 and 6,608

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Solution

The fourth proportional to 21,200, 31,800 and 6,608 is: 9,912

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200 : 31,800 = 6,608 : x
  2. Step 2: Convert to fraction form
    21,200/31,800 = 6,608/x
  3. Step 3: Cross multiply
    21,200x = 31,800 × 6,608
  4. Step 4: Simplify right side
    21,200x = 210,134,400
  5. Step 5: Solve for x
    x = 210,134,400/21,200
  6. Step 6: Final answer
    x = 9,912

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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.