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Finding the Fourth Proportional to 7,769.37, 11,705.97 and 7,029.93

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Solution

The fourth proportional to 7,769.37, 11,705.97 and 7,029.93 is: 10,591.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.37 : 11,705.97 = 7,029.93 : x
  2. Step 2: Convert to fraction form
    7,769.37/11,705.97 = 7,029.93/x
  3. Step 3: Cross multiply
    7,769.37x = 11,705.97 × 7,029.93
  4. Step 4: Simplify right side
    7,769.37x = 82,292,149.68
  5. Step 5: Solve for x
    x = 82,292,149.68/7,769.37
  6. Step 6: Final answer
    x = 10,591.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.