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Finding the Fourth Proportional to 14,813, 20,443.86 and 8,441.89

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Solution

The fourth proportional to 14,813, 20,443.86 and 8,441.89 is: 11,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813 : 20,443.86 = 8,441.89 : x
  2. Step 2: Convert to fraction form
    14,813/20,443.86 = 8,441.89/x
  3. Step 3: Cross multiply
    14,813x = 20,443.86 × 8,441.89
  4. Step 4: Simplify right side
    14,813x = 172,584,817.30
  5. Step 5: Solve for x
    x = 172,584,817.30/14,813
  6. Step 6: Final answer
    x = 11,650.90

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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.