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Finding the Fourth Proportional to 3,191, 4,786.50 and 882.50

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Solution

The fourth proportional to 3,191, 4,786.50 and 882.50 is: 1,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191 : 4,786.50 = 882.50 : x
  2. Step 2: Convert to fraction form
    3,191/4,786.50 = 882.50/x
  3. Step 3: Cross multiply
    3,191x = 4,786.50 × 882.50
  4. Step 4: Simplify right side
    3,191x = 4,224,086.25
  5. Step 5: Solve for x
    x = 4,224,086.25/3,191
  6. Step 6: Final answer
    x = 1,323.75

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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.