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Finding the Fourth Proportional to 19.78, 27.17 and 17.35

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Solution

The fourth proportional to 19.78, 27.17 and 17.35 is: 23.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.78 : 27.17 = 17.35 : x
  2. Step 2: Convert to fraction form
    19.78/27.17 = 17.35/x
  3. Step 3: Cross multiply
    19.78x = 27.17 × 17.35
  4. Step 4: Simplify right side
    19.78x = 471.31
  5. Step 5: Solve for x
    x = 471.31/19.78
  6. Step 6: Final answer
    x = 23.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.