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Finding the Fourth Proportional to 15,097.75, 20,834.57 and 8,382.97

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Solution

The fourth proportional to 15,097.75, 20,834.57 and 8,382.97 is: 11,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,097.75 : 20,834.57 = 8,382.97 : x
  2. Step 2: Convert to fraction form
    15,097.75/20,834.57 = 8,382.97/x
  3. Step 3: Cross multiply
    15,097.75x = 20,834.57 × 8,382.97
  4. Step 4: Simplify right side
    15,097.75x = 174,655,575.27
  5. Step 5: Solve for x
    x = 174,655,575.27/15,097.75
  6. Step 6: Final answer
    x = 11,568.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.