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Finding the Fourth Proportional to 18,194.20, 27,269.70 and 7,664.20

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Solution

The fourth proportional to 18,194.20, 27,269.70 and 7,664.20 is: 11,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,194.20 : 27,269.70 = 7,664.20 : x
  2. Step 2: Convert to fraction form
    18,194.20/27,269.70 = 7,664.20/x
  3. Step 3: Cross multiply
    18,194.20x = 27,269.70 × 7,664.20
  4. Step 4: Simplify right side
    18,194.20x = 209,000,434.74
  5. Step 5: Solve for x
    x = 209,000,434.74/18,194.20
  6. Step 6: Final answer
    x = 11,487.20

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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.