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Finding the Fourth Proportional to 14.14, 19.52 and 9.30

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Solution

The fourth proportional to 14.14, 19.52 and 9.30 is: 12.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 19.52 = 9.30 : x
  2. Step 2: Convert to fraction form
    14.14/19.52 = 9.30/x
  3. Step 3: Cross multiply
    14.14x = 19.52 × 9.30
  4. Step 4: Simplify right side
    14.14x = 181.54
  5. Step 5: Solve for x
    x = 181.54/14.14
  6. Step 6: Final answer
    x = 12.84

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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.