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Finding the Fourth Proportional to 19,902.69, 27,469.64 and 11,410.51

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Solution

The fourth proportional to 19,902.69, 27,469.64 and 11,410.51 is: 15,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.69 : 27,469.64 = 11,410.51 : x
  2. Step 2: Convert to fraction form
    19,902.69/27,469.64 = 11,410.51/x
  3. Step 3: Cross multiply
    19,902.69x = 27,469.64 × 11,410.51
  4. Step 4: Simplify right side
    19,902.69x = 313,442,601.92
  5. Step 5: Solve for x
    x = 313,442,601.92/19,902.69
  6. Step 6: Final answer
    x = 15,748.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.