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Finding the Fourth Proportional to 54.12, 74.72 and 41.82

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Solution

The fourth proportional to 54.12, 74.72 and 41.82 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.12 : 74.72 = 41.82 : x
  2. Step 2: Convert to fraction form
    54.12/74.72 = 41.82/x
  3. Step 3: Cross multiply
    54.12x = 74.72 × 41.82
  4. Step 4: Simplify right side
    54.12x = 3,124.61
  5. Step 5: Solve for x
    x = 3,124.61/54.12
  6. Step 6: Final answer
    x = 57.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.