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Finding the Fourth Proportional to 8,474, 11,694.84 and 4,748.72

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Solution

The fourth proportional to 8,474, 11,694.84 and 4,748.72 is: 6,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474 : 11,694.84 = 4,748.72 : x
  2. Step 2: Convert to fraction form
    8,474/11,694.84 = 4,748.72/x
  3. Step 3: Cross multiply
    8,474x = 11,694.84 × 4,748.72
  4. Step 4: Simplify right side
    8,474x = 55,535,520.60
  5. Step 5: Solve for x
    x = 55,535,520.60/8,474
  6. Step 6: Final answer
    x = 6,553.64

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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.