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Finding the Fourth Proportional to 3.78, 5.69 and 3.12

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Solution

The fourth proportional to 3.78, 5.69 and 3.12 is: 4.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.78 : 5.69 = 3.12 : x
  2. Step 2: Convert to fraction form
    3.78/5.69 = 3.12/x
  3. Step 3: Cross multiply
    3.78x = 5.69 × 3.12
  4. Step 4: Simplify right side
    3.78x = 17.74
  5. Step 5: Solve for x
    x = 17.74/3.78
  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.