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Finding the Fourth Proportional to 35.82, 53.79 and 34.21

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Solution

The fourth proportional to 35.82, 53.79 and 34.21 is: 51.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 53.79 = 34.21 : x
  2. Step 2: Convert to fraction form
    35.82/53.79 = 34.21/x
  3. Step 3: Cross multiply
    35.82x = 53.79 × 34.21
  4. Step 4: Simplify right side
    35.82x = 1,840.42
  5. Step 5: Solve for x
    x = 1,840.42/35.82
  6. Step 6: Final answer
    x = 51.39

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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.