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Finding the Fourth Proportional to 14,842, 20,481.96 and 8,554.78

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Solution

The fourth proportional to 14,842, 20,481.96 and 8,554.78 is: 11,805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842 : 20,481.96 = 8,554.78 : x
  2. Step 2: Convert to fraction form
    14,842/20,481.96 = 8,554.78/x
  3. Step 3: Cross multiply
    14,842x = 20,481.96 × 8,554.78
  4. Step 4: Simplify right side
    14,842x = 175,218,661.77
  5. Step 5: Solve for x
    x = 175,218,661.77/14,842
  6. Step 6: Final answer
    x = 11,805.60

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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.