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Finding the Fourth Proportional to 7.94, 11.90 and 3.12

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Solution

The fourth proportional to 7.94, 11.90 and 3.12 is: 4.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.94 : 11.90 = 3.12 : x
  2. Step 2: Convert to fraction form
    7.94/11.90 = 3.12/x
  3. Step 3: Cross multiply
    7.94x = 11.90 × 3.12
  4. Step 4: Simplify right side
    7.94x = 37.19
  5. Step 5: Solve for x
    x = 37.19/7.94
  6. Step 6: Final answer
    x = 4.69

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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.