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Finding the Fourth Proportional to 47.84, 71.80 and 18.97

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Solution

The fourth proportional to 47.84, 71.80 and 18.97 is: 28.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.80 = 18.97 : x
  2. Step 2: Convert to fraction form
    47.84/71.80 = 18.97/x
  3. Step 3: Cross multiply
    47.84x = 71.80 × 18.97
  4. Step 4: Simplify right side
    47.84x = 1,362.26
  5. Step 5: Solve for x
    x = 1,362.26/47.84
  6. Step 6: Final answer
    x = 28.47

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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.