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Finding the Fourth Proportional to 7,714.82, 11,573.14 and 2,786.78

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Solution

The fourth proportional to 7,714.82, 11,573.14 and 2,786.78 is: 4,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.82 : 11,573.14 = 2,786.78 : x
  2. Step 2: Convert to fraction form
    7,714.82/11,573.14 = 2,786.78/x
  3. Step 3: Cross multiply
    7,714.82x = 11,573.14 × 2,786.78
  4. Step 4: Simplify right side
    7,714.82x = 32,251,795.09
  5. Step 5: Solve for x
    x = 32,251,795.09/7,714.82
  6. Step 6: Final answer
    x = 4,180.50

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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.