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Finding the Fourth Proportional to 5.78, 7.94 and 4.67

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Solution

The fourth proportional to 5.78, 7.94 and 4.67 is: 6.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 7.94 = 4.67 : x
  2. Step 2: Convert to fraction form
    5.78/7.94 = 4.67/x
  3. Step 3: Cross multiply
    5.78x = 7.94 × 4.67
  4. Step 4: Simplify right side
    5.78x = 37.08
  5. Step 5: Solve for x
    x = 37.08/5.78
  6. Step 6: Final answer
    x = 6.42

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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.