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Finding the Fourth Proportional to 54, 74.55 and 47.82

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Solution

The fourth proportional to 54, 74.55 and 47.82 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54 : 74.55 = 47.82 : x
  2. Step 2: Convert to fraction form
    54/74.55 = 47.82/x
  3. Step 3: Cross multiply
    54x = 74.55 × 47.82
  4. Step 4: Simplify right side
    54x = 3,564.98
  5. Step 5: Solve for x
    x = 3,564.98/54
  6. Step 6: Final answer
    x = 66.02

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Why These Related Problems?

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