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Finding the Fourth Proportional to 8,496.78, 11,696.45 and 7,371.09

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Solution

The fourth proportional to 8,496.78, 11,696.45 and 7,371.09 is: 10,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.78 : 11,696.45 = 7,371.09 : x
  2. Step 2: Convert to fraction form
    8,496.78/11,696.45 = 7,371.09/x
  3. Step 3: Cross multiply
    8,496.78x = 11,696.45 × 7,371.09
  4. Step 4: Simplify right side
    8,496.78x = 86,215,548.78
  5. Step 5: Solve for x
    x = 86,215,548.78/8,496.78
  6. Step 6: Final answer
    x = 10,146.85

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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.