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Finding the Fourth Proportional to 18,672.68, 28,005.76 and 6,824

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Solution

The fourth proportional to 18,672.68, 28,005.76 and 6,824 is: 10,234.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,672.68 : 28,005.76 = 6,824 : x
  2. Step 2: Convert to fraction form
    18,672.68/28,005.76 = 6,824/x
  3. Step 3: Cross multiply
    18,672.68x = 28,005.76 × 6,824
  4. Step 4: Simplify right side
    18,672.68x = 191,111,306.24
  5. Step 5: Solve for x
    x = 191,111,306.24/18,672.68
  6. Step 6: Final answer
    x = 10,234.81

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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.