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Finding the Fourth Proportional to 9,202.78, 12,696.60 and 7,078.96

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Solution

The fourth proportional to 9,202.78, 12,696.60 and 7,078.96 is: 9,766.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.78 : 12,696.60 = 7,078.96 : x
  2. Step 2: Convert to fraction form
    9,202.78/12,696.60 = 7,078.96/x
  3. Step 3: Cross multiply
    9,202.78x = 12,696.60 × 7,078.96
  4. Step 4: Simplify right side
    9,202.78x = 89,878,723.54
  5. Step 5: Solve for x
    x = 89,878,723.54/9,202.78
  6. Step 6: Final answer
    x = 9,766.48

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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.