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Finding the Fourth Proportional to 18,311.78, 27,472.80 and 5,164.22

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Solution

The fourth proportional to 18,311.78, 27,472.80 and 5,164.22 is: 7,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,311.78 : 27,472.80 = 5,164.22 : x
  2. Step 2: Convert to fraction form
    18,311.78/27,472.80 = 5,164.22/x
  3. Step 3: Cross multiply
    18,311.78x = 27,472.80 × 5,164.22
  4. Step 4: Simplify right side
    18,311.78x = 141,875,583.22
  5. Step 5: Solve for x
    x = 141,875,583.22/18,311.78
  6. Step 6: Final answer
    x = 7,747.78

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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.