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Finding the Fourth Proportional to 54.69, 82.04 and 31.89

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Solution

The fourth proportional to 54.69, 82.04 and 31.89 is: 47.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 82.04 = 31.89 : x
  2. Step 2: Convert to fraction form
    54.69/82.04 = 31.89/x
  3. Step 3: Cross multiply
    54.69x = 82.04 × 31.89
  4. Step 4: Simplify right side
    54.69x = 2,616.26
  5. Step 5: Solve for x
    x = 2,616.26/54.69
  6. Step 6: Final answer
    x = 47.84

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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.