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Finding the Fourth Proportional to 18,546.54, 27,821.34 and 7,451.78

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Solution

The fourth proportional to 18,546.54, 27,821.34 and 7,451.78 is: 11,178.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546.54 : 27,821.34 = 7,451.78 : x
  2. Step 2: Convert to fraction form
    18,546.54/27,821.34 = 7,451.78/x
  3. Step 3: Cross multiply
    18,546.54x = 27,821.34 × 7,451.78
  4. Step 4: Simplify right side
    18,546.54x = 207,318,504.99
  5. Step 5: Solve for x
    x = 207,318,504.99/18,546.54
  6. Step 6: Final answer
    x = 11,178.28

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1.5x scale

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.