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Finding the Fourth Proportional to 13,666, 20,499.48 and 7,819.92

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Solution

The fourth proportional to 13,666, 20,499.48 and 7,819.92 is: 11,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666 : 20,499.48 = 7,819.92 : x
  2. Step 2: Convert to fraction form
    13,666/20,499.48 = 7,819.92/x
  3. Step 3: Cross multiply
    13,666x = 20,499.48 × 7,819.92
  4. Step 4: Simplify right side
    13,666x = 160,304,293.64
  5. Step 5: Solve for x
    x = 160,304,293.64/13,666
  6. Step 6: Final answer
    x = 11,730.15

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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.