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Finding the Fourth Proportional to 7,745.44, 10,696.08 and 7,729.60

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Solution

The fourth proportional to 7,745.44, 10,696.08 and 7,729.60 is: 10,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.44 : 10,696.08 = 7,729.60 : x
  2. Step 2: Convert to fraction form
    7,745.44/10,696.08 = 7,729.60/x
  3. Step 3: Cross multiply
    7,745.44x = 10,696.08 × 7,729.60
  4. Step 4: Simplify right side
    7,745.44x = 82,676,419.97
  5. Step 5: Solve for x
    x = 82,676,419.97/7,745.44
  6. Step 6: Final answer
    x = 10,674.21

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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.