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Finding the Fourth Proportional to 18,553.65, 27,811.85 and 9,200.45

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Solution

The fourth proportional to 18,553.65, 27,811.85 and 9,200.45 is: 13,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.65 : 27,811.85 = 9,200.45 : x
  2. Step 2: Convert to fraction form
    18,553.65/27,811.85 = 9,200.45/x
  3. Step 3: Cross multiply
    18,553.65x = 27,811.85 × 9,200.45
  4. Step 4: Simplify right side
    18,553.65x = 255,881,350.27
  5. Step 5: Solve for x
    x = 255,881,350.27/18,553.65
  6. Step 6: Final answer
    x = 13,791.43

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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.