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Finding the Fourth Proportional to 9,884.41, 13,636.38 and 6,480.49

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Solution

The fourth proportional to 9,884.41, 13,636.38 and 6,480.49 is: 8,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.41 : 13,636.38 = 6,480.49 : x
  2. Step 2: Convert to fraction form
    9,884.41/13,636.38 = 6,480.49/x
  3. Step 3: Cross multiply
    9,884.41x = 13,636.38 × 6,480.49
  4. Step 4: Simplify right side
    9,884.41x = 88,370,424.23
  5. Step 5: Solve for x
    x = 88,370,424.23/9,884.41
  6. Step 6: Final answer
    x = 8,940.38

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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.