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Finding the Fourth Proportional to 12,768.57, 17,620.97 and 7,733.70

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Solution

The fourth proportional to 12,768.57, 17,620.97 and 7,733.70 is: 10,672.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768.57 : 17,620.97 = 7,733.70 : x
  2. Step 2: Convert to fraction form
    12,768.57/17,620.97 = 7,733.70/x
  3. Step 3: Cross multiply
    12,768.57x = 17,620.97 × 7,733.70
  4. Step 4: Simplify right side
    12,768.57x = 136,275,257.02
  5. Step 5: Solve for x
    x = 136,275,257.02/12,768.57
  6. Step 6: Final answer
    x = 10,672.71

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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.