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Finding the Fourth Proportional to 11,321.60, 16,982.04 and 5,478.80

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Solution

The fourth proportional to 11,321.60, 16,982.04 and 5,478.80 is: 8,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.60 : 16,982.04 = 5,478.80 : x
  2. Step 2: Convert to fraction form
    11,321.60/16,982.04 = 5,478.80/x
  3. Step 3: Cross multiply
    11,321.60x = 16,982.04 × 5,478.80
  4. Step 4: Simplify right side
    11,321.60x = 93,041,200.75
  5. Step 5: Solve for x
    x = 93,041,200.75/11,321.60
  6. Step 6: Final answer
    x = 8,218.03

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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.