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Finding the Fourth Proportional to 6.14, 8.40 and 6.09

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Solution

The fourth proportional to 6.14, 8.40 and 6.09 is: 8.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.14 : 8.40 = 6.09 : x
  2. Step 2: Convert to fraction form
    6.14/8.40 = 6.09/x
  3. Step 3: Cross multiply
    6.14x = 8.40 × 6.09
  4. Step 4: Simplify right side
    6.14x = 51.13
  5. Step 5: Solve for x
    x = 51.13/6.14
  6. Step 6: Final answer
    x = 8.33

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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.