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Finding the Fourth Proportional to 6.93, 10.34 and 6.78

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Solution

The fourth proportional to 6.93, 10.34 and 6.78 is: 10.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.93 : 10.34 = 6.78 : x
  2. Step 2: Convert to fraction form
    6.93/10.34 = 6.78/x
  3. Step 3: Cross multiply
    6.93x = 10.34 × 6.78
  4. Step 4: Simplify right side
    6.93x = 70.14
  5. Step 5: Solve for x
    x = 70.14/6.93
  6. Step 6: Final answer
    x = 10.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.