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Finding the Fourth Proportional to 11,891.46, 17,827.46 and 4,491.72

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Solution

The fourth proportional to 11,891.46, 17,827.46 and 4,491.72 is: 6,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.46 : 17,827.46 = 4,491.72 : x
  2. Step 2: Convert to fraction form
    11,891.46/17,827.46 = 4,491.72/x
  3. Step 3: Cross multiply
    11,891.46x = 17,827.46 × 4,491.72
  4. Step 4: Simplify right side
    11,891.46x = 80,075,958.63
  5. Step 5: Solve for x
    x = 80,075,958.63/11,891.46
  6. Step 6: Final answer
    x = 6,733.90

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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.