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Finding the Fourth Proportional to 12,107.08, 16,708.44 and 7,390

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Solution

The fourth proportional to 12,107.08, 16,708.44 and 7,390 is: 10,198.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.08 : 16,708.44 = 7,390 : x
  2. Step 2: Convert to fraction form
    12,107.08/16,708.44 = 7,390/x
  3. Step 3: Cross multiply
    12,107.08x = 16,708.44 × 7,390
  4. Step 4: Simplify right side
    12,107.08x = 123,475,371.60
  5. Step 5: Solve for x
    x = 123,475,371.60/12,107.08
  6. Step 6: Final answer
    x = 10,198.61

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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.