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Finding the Fourth Proportional to 14,769, 20,381.40 and 8,481.96

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Solution

The fourth proportional to 14,769, 20,381.40 and 8,481.96 is: 11,705.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,769 : 20,381.40 = 8,481.96 : x
  2. Step 2: Convert to fraction form
    14,769/20,381.40 = 8,481.96/x
  3. Step 3: Cross multiply
    14,769x = 20,381.40 × 8,481.96
  4. Step 4: Simplify right side
    14,769x = 172,874,219.54
  5. Step 5: Solve for x
    x = 172,874,219.54/14,769
  6. Step 6: Final answer
    x = 11,705.21

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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.