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Finding the Fourth Proportional to 37.77, 51.84 and 34.11

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Solution

The fourth proportional to 37.77, 51.84 and 34.11 is: 46.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.77 : 51.84 = 34.11 : x
  2. Step 2: Convert to fraction form
    37.77/51.84 = 34.11/x
  3. Step 3: Cross multiply
    37.77x = 51.84 × 34.11
  4. Step 4: Simplify right side
    37.77x = 1,768.26
  5. Step 5: Solve for x
    x = 1,768.26/37.77
  6. Step 6: Final answer
    x = 46.82

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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.