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Finding the Fourth Proportional to 7,786.56, 11,679.84 and 7,009.82

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Solution

The fourth proportional to 7,786.56, 11,679.84 and 7,009.82 is: 10,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.56 : 11,679.84 = 7,009.82 : x
  2. Step 2: Convert to fraction form
    7,786.56/11,679.84 = 7,009.82/x
  3. Step 3: Cross multiply
    7,786.56x = 11,679.84 × 7,009.82
  4. Step 4: Simplify right side
    7,786.56x = 81,873,576.03
  5. Step 5: Solve for x
    x = 81,873,576.03/7,786.56
  6. Step 6: Final answer
    x = 10,514.73

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.