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Finding the Fourth Proportional to 7,687.62, 11,527.79 and 3,986.15

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Solution

The fourth proportional to 7,687.62, 11,527.79 and 3,986.15 is: 5,977.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.62 : 11,527.79 = 3,986.15 : x
  2. Step 2: Convert to fraction form
    7,687.62/11,527.79 = 3,986.15/x
  3. Step 3: Cross multiply
    7,687.62x = 11,527.79 × 3,986.15
  4. Step 4: Simplify right side
    7,687.62x = 45,951,422.54
  5. Step 5: Solve for x
    x = 45,951,422.54/7,687.62
  6. Step 6: Final answer
    x = 5,977.33

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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.