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Finding the Fourth Proportional to 7.82, 10.78 and 4.94

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Solution

The fourth proportional to 7.82, 10.78 and 4.94 is: 6.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.82 : 10.78 = 4.94 : x
  2. Step 2: Convert to fraction form
    7.82/10.78 = 4.94/x
  3. Step 3: Cross multiply
    7.82x = 10.78 × 4.94
  4. Step 4: Simplify right side
    7.82x = 53.25
  5. Step 5: Solve for x
    x = 53.25/7.82
  6. Step 6: Final answer
    x = 6.81

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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.