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Finding the Fourth Proportional to 7,714.32, 11,571.76 and 3,965.09

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Solution

The fourth proportional to 7,714.32, 11,571.76 and 3,965.09 is: 5,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.32 : 11,571.76 = 3,965.09 : x
  2. Step 2: Convert to fraction form
    7,714.32/11,571.76 = 3,965.09/x
  3. Step 3: Cross multiply
    7,714.32x = 11,571.76 × 3,965.09
  4. Step 4: Simplify right side
    7,714.32x = 45,883,114.59
  5. Step 5: Solve for x
    x = 45,883,114.59/7,714.32
  6. Step 6: Final answer
    x = 5,947.78

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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.