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Finding the Fourth Proportional to 17,221.14, 25,821.20 and 7,731.68

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Solution

The fourth proportional to 17,221.14, 25,821.20 and 7,731.68 is: 11,592.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,221.14 : 25,821.20 = 7,731.68 : x
  2. Step 2: Convert to fraction form
    17,221.14/25,821.20 = 7,731.68/x
  3. Step 3: Cross multiply
    17,221.14x = 25,821.20 × 7,731.68
  4. Step 4: Simplify right side
    17,221.14x = 199,641,145.84
  5. Step 5: Solve for x
    x = 199,641,145.84/17,221.14
  6. Step 6: Final answer
    x = 11,592.80

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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.