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Finding the Fourth Proportional to 12,380.75, 18,568.97 and 5,716.68

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Solution

The fourth proportional to 12,380.75, 18,568.97 and 5,716.68 is: 8,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.75 : 18,568.97 = 5,716.68 : x
  2. Step 2: Convert to fraction form
    12,380.75/18,568.97 = 5,716.68/x
  3. Step 3: Cross multiply
    12,380.75x = 18,568.97 × 5,716.68
  4. Step 4: Simplify right side
    12,380.75x = 106,152,852.27
  5. Step 5: Solve for x
    x = 106,152,852.27/12,380.75
  6. Step 6: Final answer
    x = 8,574.03

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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.