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Finding the Fourth Proportional to 14,780, 20,396.22 and 8,491.88

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Solution

The fourth proportional to 14,780, 20,396.22 and 8,491.88 is: 11,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,780 : 20,396.22 = 8,491.88 : x
  2. Step 2: Convert to fraction form
    14,780/20,396.22 = 8,491.88/x
  3. Step 3: Cross multiply
    14,780x = 20,396.22 × 8,491.88
  4. Step 4: Simplify right side
    14,780x = 173,202,252.69
  5. Step 5: Solve for x
    x = 173,202,252.69/14,780
  6. Step 6: Final answer
    x = 11,718.69

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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.