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Finding the Fourth Proportional to 7,828.44, 11,757.24 and 7,515.24

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Solution

The fourth proportional to 7,828.44, 11,757.24 and 7,515.24 is: 11,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.44 : 11,757.24 = 7,515.24 : x
  2. Step 2: Convert to fraction form
    7,828.44/11,757.24 = 7,515.24/x
  3. Step 3: Cross multiply
    7,828.44x = 11,757.24 × 7,515.24
  4. Step 4: Simplify right side
    7,828.44x = 88,358,480.34
  5. Step 5: Solve for x
    x = 88,358,480.34/7,828.44
  6. Step 6: Final answer
    x = 11,286.86

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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.