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Finding the Fourth Proportional to 47.69, 71.50 and 18.78

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Solution

The fourth proportional to 47.69, 71.50 and 18.78 is: 28.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.69 : 71.50 = 18.78 : x
  2. Step 2: Convert to fraction form
    47.69/71.50 = 18.78/x
  3. Step 3: Cross multiply
    47.69x = 71.50 × 18.78
  4. Step 4: Simplify right side
    47.69x = 1,342.45
  5. Step 5: Solve for x
    x = 1,342.45/47.69
  6. Step 6: Final answer
    x = 28.15

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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.