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Finding the Fourth Proportional to 18,823.71, 28,234.03 and 6,343.46

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Solution

The fourth proportional to 18,823.71, 28,234.03 and 6,343.46 is: 9,514.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.71 : 28,234.03 = 6,343.46 : x
  2. Step 2: Convert to fraction form
    18,823.71/28,234.03 = 6,343.46/x
  3. Step 3: Cross multiply
    18,823.71x = 28,234.03 × 6,343.46
  4. Step 4: Simplify right side
    18,823.71x = 179,101,439.94
  5. Step 5: Solve for x
    x = 179,101,439.94/18,823.71
  6. Step 6: Final answer
    x = 9,514.67

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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.