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Finding the Fourth Proportional to 7,728.68, 11,591.68 and 3,568.34

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Solution

The fourth proportional to 7,728.68, 11,591.68 and 3,568.34 is: 5,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.68 : 11,591.68 = 3,568.34 : x
  2. Step 2: Convert to fraction form
    7,728.68/11,591.68 = 3,568.34/x
  3. Step 3: Cross multiply
    7,728.68x = 11,591.68 × 3,568.34
  4. Step 4: Simplify right side
    7,728.68x = 41,363,016.96
  5. Step 5: Solve for x
    x = 41,363,016.96/7,728.68
  6. Step 6: Final answer
    x = 5,351.88

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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.