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Finding the Fourth Proportional to 47,497, 71,245.50 and 19,795

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Solution

The fourth proportional to 47,497, 71,245.50 and 19,795 is: 29,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497 : 71,245.50 = 19,795 : x
  2. Step 2: Convert to fraction form
    47,497/71,245.50 = 19,795/x
  3. Step 3: Cross multiply
    47,497x = 71,245.50 × 19,795
  4. Step 4: Simplify right side
    47,497x = 1,410,304,672.50
  5. Step 5: Solve for x
    x = 1,410,304,672.50/47,497
  6. Step 6: Final answer
    x = 29,692.50

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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.