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Finding the Fourth Proportional to 13,287.11, 19,892.05 and 7,723.49

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Solution

The fourth proportional to 13,287.11, 19,892.05 and 7,723.49 is: 11,562.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,287.11 : 19,892.05 = 7,723.49 : x
  2. Step 2: Convert to fraction form
    13,287.11/19,892.05 = 7,723.49/x
  3. Step 3: Cross multiply
    13,287.11x = 19,892.05 × 7,723.49
  4. Step 4: Simplify right side
    13,287.11x = 153,635,930.49
  5. Step 5: Solve for x
    x = 153,635,930.49/13,287.11
  6. Step 6: Final answer
    x = 11,562.78

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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.