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Finding the Fourth Proportional to 21,967.20, 32,902.20 and 17,020.80

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Solution

The fourth proportional to 21,967.20, 32,902.20 and 17,020.80 is: 25,493.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.20 : 32,902.20 = 17,020.80 : x
  2. Step 2: Convert to fraction form
    21,967.20/32,902.20 = 17,020.80/x
  3. Step 3: Cross multiply
    21,967.20x = 32,902.20 × 17,020.80
  4. Step 4: Simplify right side
    21,967.20x = 560,021,765.76
  5. Step 5: Solve for x
    x = 560,021,765.76/21,967.20
  6. Step 6: Final answer
    x = 25,493.54

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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.