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Finding the Fourth Proportional to 8,491, 11,718.66 and 4,765

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Solution

The fourth proportional to 8,491, 11,718.66 and 4,765 is: 6,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491 : 11,718.66 = 4,765 : x
  2. Step 2: Convert to fraction form
    8,491/11,718.66 = 4,765/x
  3. Step 3: Cross multiply
    8,491x = 11,718.66 × 4,765
  4. Step 4: Simplify right side
    8,491x = 55,839,414.90
  5. Step 5: Solve for x
    x = 55,839,414.90/8,491
  6. Step 6: Final answer
    x = 6,576.31

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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.