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Finding the Fourth Proportional to 7,839.92, 11,757.72 and 5,630.24

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Solution

The fourth proportional to 7,839.92, 11,757.72 and 5,630.24 is: 8,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839.92 : 11,757.72 = 5,630.24 : x
  2. Step 2: Convert to fraction form
    7,839.92/11,757.72 = 5,630.24/x
  3. Step 3: Cross multiply
    7,839.92x = 11,757.72 × 5,630.24
  4. Step 4: Simplify right side
    7,839.92x = 66,198,785.45
  5. Step 5: Solve for x
    x = 66,198,785.45/7,839.92
  6. Step 6: Final answer
    x = 8,443.81

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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.