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Finding the Fourth Proportional to 17.07, 25.62 and 12.80

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Solution

The fourth proportional to 17.07, 25.62 and 12.80 is: 19.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.07 : 25.62 = 12.80 : x
  2. Step 2: Convert to fraction form
    17.07/25.62 = 12.80/x
  3. Step 3: Cross multiply
    17.07x = 25.62 × 12.80
  4. Step 4: Simplify right side
    17.07x = 327.94
  5. Step 5: Solve for x
    x = 327.94/17.07
  6. Step 6: Final answer
    x = 19.21

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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.