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Finding the Fourth Proportional to 12,696.82, 17,519.96 and 7,107.82

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Solution

The fourth proportional to 12,696.82, 17,519.96 and 7,107.82 is: 9,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.82 : 17,519.96 = 7,107.82 : x
  2. Step 2: Convert to fraction form
    12,696.82/17,519.96 = 7,107.82/x
  3. Step 3: Cross multiply
    12,696.82x = 17,519.96 × 7,107.82
  4. Step 4: Simplify right side
    12,696.82x = 124,528,722.09
  5. Step 5: Solve for x
    x = 124,528,722.09/12,696.82
  6. Step 6: Final answer
    x = 9,807.87

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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.