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Finding the Fourth Proportional to 54.84, 82.26 and 47.65

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Solution

The fourth proportional to 54.84, 82.26 and 47.65 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.84 : 82.26 = 47.65 : x
  2. Step 2: Convert to fraction form
    54.84/82.26 = 47.65/x
  3. Step 3: Cross multiply
    54.84x = 82.26 × 47.65
  4. Step 4: Simplify right side
    54.84x = 3,919.45
  5. Step 5: Solve for x
    x = 3,919.45/54.84
  6. Step 6: Final answer
    x = 71.47

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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.