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Finding the Fourth Proportional to 18,507.69, 27,761.94 and 7,419.60

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Solution

The fourth proportional to 18,507.69, 27,761.94 and 7,419.60 is: 11,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,507.69 : 27,761.94 = 7,419.60 : x
  2. Step 2: Convert to fraction form
    18,507.69/27,761.94 = 7,419.60/x
  3. Step 3: Cross multiply
    18,507.69x = 27,761.94 × 7,419.60
  4. Step 4: Simplify right side
    18,507.69x = 205,982,490.02
  5. Step 5: Solve for x
    x = 205,982,490.02/18,507.69
  6. Step 6: Final answer
    x = 11,129.56

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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.