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Finding the Fourth Proportional to 33,313, 49,969.98 and 8,689

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Solution

The fourth proportional to 33,313, 49,969.98 and 8,689 is: 13,033.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313 : 49,969.98 = 8,689 : x
  2. Step 2: Convert to fraction form
    33,313/49,969.98 = 8,689/x
  3. Step 3: Cross multiply
    33,313x = 49,969.98 × 8,689
  4. Step 4: Simplify right side
    33,313x = 434,189,156.22
  5. Step 5: Solve for x
    x = 434,189,156.22/33,313
  6. Step 6: Final answer
    x = 13,033.63

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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.