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Finding the Fourth Proportional to 19.40, 26.78 and 12.94

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Solution

The fourth proportional to 19.40, 26.78 and 12.94 is: 17.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.40 : 26.78 = 12.94 : x
  2. Step 2: Convert to fraction form
    19.40/26.78 = 12.94/x
  3. Step 3: Cross multiply
    19.40x = 26.78 × 12.94
  4. Step 4: Simplify right side
    19.40x = 346.53
  5. Step 5: Solve for x
    x = 346.53/19.40
  6. Step 6: Final answer
    x = 17.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.