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Finding the Fourth Proportional to 7,768.78, 11,696.98 and 6,850.24

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Solution

The fourth proportional to 7,768.78, 11,696.98 and 6,850.24 is: 10,313.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.78 : 11,696.98 = 6,850.24 : x
  2. Step 2: Convert to fraction form
    7,768.78/11,696.98 = 6,850.24/x
  3. Step 3: Cross multiply
    7,768.78x = 11,696.98 × 6,850.24
  4. Step 4: Simplify right side
    7,768.78x = 80,127,120.28
  5. Step 5: Solve for x
    x = 80,127,120.28/7,768.78
  6. Step 6: Final answer
    x = 10,313.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.