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Finding the Fourth Proportional to 48.74, 66.87 and 47.84

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Solution

The fourth proportional to 48.74, 66.87 and 47.84 is: 65.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.74 : 66.87 = 47.84 : x
  2. Step 2: Convert to fraction form
    48.74/66.87 = 47.84/x
  3. Step 3: Cross multiply
    48.74x = 66.87 × 47.84
  4. Step 4: Simplify right side
    48.74x = 3,198.73
  5. Step 5: Solve for x
    x = 3,198.73/48.74
  6. Step 6: Final answer
    x = 65.64

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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.