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Finding the Fourth Proportional to 34.84, 51.83 and 34.54

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Solution

The fourth proportional to 34.84, 51.83 and 34.54 is: 51.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.84 : 51.83 = 34.54 : x
  2. Step 2: Convert to fraction form
    34.84/51.83 = 34.54/x
  3. Step 3: Cross multiply
    34.84x = 51.83 × 34.54
  4. Step 4: Simplify right side
    34.84x = 1,790.21
  5. Step 5: Solve for x
    x = 1,790.21/34.84
  6. Step 6: Final answer
    x = 51.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.