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Finding the Fourth Proportional to 12,436.52, 17,163.87 and 6,986.49

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Solution

The fourth proportional to 12,436.52, 17,163.87 and 6,986.49 is: 9,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.52 : 17,163.87 = 6,986.49 : x
  2. Step 2: Convert to fraction form
    12,436.52/17,163.87 = 6,986.49/x
  3. Step 3: Cross multiply
    12,436.52x = 17,163.87 × 6,986.49
  4. Step 4: Simplify right side
    12,436.52x = 119,915,171.18
  5. Step 5: Solve for x
    x = 119,915,171.18/12,436.52
  6. Step 6: Final answer
    x = 9,642.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.