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Finding the Fourth Proportional to 13.08, 19.41 and 12.95

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Solution

The fourth proportional to 13.08, 19.41 and 12.95 is: 19.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.08 : 19.41 = 12.95 : x
  2. Step 2: Convert to fraction form
    13.08/19.41 = 12.95/x
  3. Step 3: Cross multiply
    13.08x = 19.41 × 12.95
  4. Step 4: Simplify right side
    13.08x = 251.26
  5. Step 5: Solve for x
    x = 251.26/13.08
  6. Step 6: Final answer
    x = 19.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.