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Finding the Fourth Proportional to 9,921.26, 13,696.90 and 6,751.64

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Solution

The fourth proportional to 9,921.26, 13,696.90 and 6,751.64 is: 9,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.26 : 13,696.90 = 6,751.64 : x
  2. Step 2: Convert to fraction form
    9,921.26/13,696.90 = 6,751.64/x
  3. Step 3: Cross multiply
    9,921.26x = 13,696.90 × 6,751.64
  4. Step 4: Simplify right side
    9,921.26x = 92,476,537.92
  5. Step 5: Solve for x
    x = 92,476,537.92/9,921.26
  6. Step 6: Final answer
    x = 9,321.05

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1.5x scale

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.