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Finding the Fourth Proportional to 7.85, 11.79 and 6.35

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Solution

The fourth proportional to 7.85, 11.79 and 6.35 is: 9.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.85 : 11.79 = 6.35 : x
  2. Step 2: Convert to fraction form
    7.85/11.79 = 6.35/x
  3. Step 3: Cross multiply
    7.85x = 11.79 × 6.35
  4. Step 4: Simplify right side
    7.85x = 74.87
  5. Step 5: Solve for x
    x = 74.87/7.85
  6. Step 6: Final answer
    x = 9.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.