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Finding the Fourth Proportional to 49.56, 73.84 and 47.48

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Solution

The fourth proportional to 49.56, 73.84 and 47.48 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.56 : 73.84 = 47.48 : x
  2. Step 2: Convert to fraction form
    49.56/73.84 = 47.48/x
  3. Step 3: Cross multiply
    49.56x = 73.84 × 47.48
  4. Step 4: Simplify right side
    49.56x = 3,505.92
  5. Step 5: Solve for x
    x = 3,505.92/49.56
  6. Step 6: Final answer
    x = 70.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.