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Finding the Fourth Proportional to 12.66, 19.14 and 12.60

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Solution

The fourth proportional to 12.66, 19.14 and 12.60 is: 19.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.66 : 19.14 = 12.60 : x
  2. Step 2: Convert to fraction form
    12.66/19.14 = 12.60/x
  3. Step 3: Cross multiply
    12.66x = 19.14 × 12.60
  4. Step 4: Simplify right side
    12.66x = 241.16
  5. Step 5: Solve for x
    x = 241.16/12.66
  6. Step 6: Final answer
    x = 19.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.