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Finding the Fourth Proportional to 8,517, 11,754 and 4,791

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Solution

The fourth proportional to 8,517, 11,754 and 4,791 is: 6,611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517 : 11,754 = 4,791 : x
  2. Step 2: Convert to fraction form
    8,517/11,754 = 4,791/x
  3. Step 3: Cross multiply
    8,517x = 11,754 × 4,791
  4. Step 4: Simplify right side
    8,517x = 56,313,414
  5. Step 5: Solve for x
    x = 56,313,414/8,517
  6. Step 6: Final answer
    x = 6,611.88

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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.