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Finding the Fourth Proportional to 18,484.86, 27,738.28 and 6,806.28

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Solution

The fourth proportional to 18,484.86, 27,738.28 and 6,806.28 is: 10,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,484.86 : 27,738.28 = 6,806.28 : x
  2. Step 2: Convert to fraction form
    18,484.86/27,738.28 = 6,806.28/x
  3. Step 3: Cross multiply
    18,484.86x = 27,738.28 × 6,806.28
  4. Step 4: Simplify right side
    18,484.86x = 188,794,500.40
  5. Step 5: Solve for x
    x = 188,794,500.40/18,484.86
  6. Step 6: Final answer
    x = 10,213.47

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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.