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Finding the Fourth Proportional to 5,300.80, 7,949.92 and 2,219.84

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Solution

The fourth proportional to 5,300.80, 7,949.92 and 2,219.84 is: 3,329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.80 : 7,949.92 = 2,219.84 : x
  2. Step 2: Convert to fraction form
    5,300.80/7,949.92 = 2,219.84/x
  3. Step 3: Cross multiply
    5,300.80x = 7,949.92 × 2,219.84
  4. Step 4: Simplify right side
    5,300.80x = 17,647,550.41
  5. Step 5: Solve for x
    x = 17,647,550.41/5,300.80
  6. Step 6: Final answer
    x = 3,329.22

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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.