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Finding the Fourth Proportional to 9,186.78, 12,696.42 and 6,947.94

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Solution

The fourth proportional to 9,186.78, 12,696.42 and 6,947.94 is: 9,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.78 : 12,696.42 = 6,947.94 : x
  2. Step 2: Convert to fraction form
    9,186.78/12,696.42 = 6,947.94/x
  3. Step 3: Cross multiply
    9,186.78x = 12,696.42 × 6,947.94
  4. Step 4: Simplify right side
    9,186.78x = 88,213,964.37
  5. Step 5: Solve for x
    x = 88,213,964.37/9,186.78
  6. Step 6: Final answer
    x = 9,602.27

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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.