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Finding the Fourth Proportional to 18,194.70, 27,302.49 and 7,663.89

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Solution

The fourth proportional to 18,194.70, 27,302.49 and 7,663.89 is: 11,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.70 : 27,302.49 = 7,663.89 : x
  2. Step 2: Convert to fraction form
    18,194.70/27,302.49 = 7,663.89/x
  3. Step 3: Cross multiply
    18,194.70x = 27,302.49 × 7,663.89
  4. Step 4: Simplify right side
    18,194.70x = 209,243,280.09
  5. Step 5: Solve for x
    x = 209,243,280.09/18,194.70
  6. Step 6: Final answer
    x = 11,500.23

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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.