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Finding the Fourth Proportional to 5.78, 8.64 and 3.11

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Solution

The fourth proportional to 5.78, 8.64 and 3.11 is: 4.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.78 : 8.64 = 3.11 : x
  2. Step 2: Convert to fraction form
    5.78/8.64 = 3.11/x
  3. Step 3: Cross multiply
    5.78x = 8.64 × 3.11
  4. Step 4: Simplify right side
    5.78x = 26.83
  5. Step 5: Solve for x
    x = 26.83/5.78
  6. Step 6: Final answer
    x = 4.65

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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.