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Finding the Fourth Proportional to 18,976.92, 28,461.10 and 5,647.20

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Solution

The fourth proportional to 18,976.92, 28,461.10 and 5,647.20 is: 8,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976.92 : 28,461.10 = 5,647.20 : x
  2. Step 2: Convert to fraction form
    18,976.92/28,461.10 = 5,647.20/x
  3. Step 3: Cross multiply
    18,976.92x = 28,461.10 × 5,647.20
  4. Step 4: Simplify right side
    18,976.92x = 160,725,523.92
  5. Step 5: Solve for x
    x = 160,725,523.92/18,976.92
  6. Step 6: Final answer
    x = 8,469.53

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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.