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Finding the Fourth Proportional to 34.93, 47.99 and 30.83

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Solution

The fourth proportional to 34.93, 47.99 and 30.83 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.93 : 47.99 = 30.83 : x
  2. Step 2: Convert to fraction form
    34.93/47.99 = 30.83/x
  3. Step 3: Cross multiply
    34.93x = 47.99 × 30.83
  4. Step 4: Simplify right side
    34.93x = 1,479.64
  5. Step 5: Solve for x
    x = 1,479.64/34.93
  6. Step 6: Final answer
    x = 42.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.