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Finding the Fourth Proportional to 12,917.75, 17,822.03 and 7,251.71

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Solution

The fourth proportional to 12,917.75, 17,822.03 and 7,251.71 is: 10,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,917.75 : 17,822.03 = 7,251.71 : x
  2. Step 2: Convert to fraction form
    12,917.75/17,822.03 = 7,251.71/x
  3. Step 3: Cross multiply
    12,917.75x = 17,822.03 × 7,251.71
  4. Step 4: Simplify right side
    12,917.75x = 129,240,067.80
  5. Step 5: Solve for x
    x = 129,240,067.80/12,917.75
  6. Step 6: Final answer
    x = 10,004.85

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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.