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Finding the Fourth Proportional to 18,469.57, 27,716.51 and 6,782.89

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Solution

The fourth proportional to 18,469.57, 27,716.51 and 6,782.89 is: 10,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469.57 : 27,716.51 = 6,782.89 : x
  2. Step 2: Convert to fraction form
    18,469.57/27,716.51 = 6,782.89/x
  3. Step 3: Cross multiply
    18,469.57x = 27,716.51 × 6,782.89
  4. Step 4: Simplify right side
    18,469.57x = 187,998,038.51
  5. Step 5: Solve for x
    x = 187,998,038.51/18,469.57
  6. Step 6: Final answer
    x = 10,178.80

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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.