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Finding the Fourth Proportional to 9,333, 13,999.50 and 3,861

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Solution

The fourth proportional to 9,333, 13,999.50 and 3,861 is: 5,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333 : 13,999.50 = 3,861 : x
  2. Step 2: Convert to fraction form
    9,333/13,999.50 = 3,861/x
  3. Step 3: Cross multiply
    9,333x = 13,999.50 × 3,861
  4. Step 4: Simplify right side
    9,333x = 54,052,069.50
  5. Step 5: Solve for x
    x = 54,052,069.50/9,333
  6. Step 6: Final answer
    x = 5,791.50

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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.