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Finding the Fourth Proportional to 5,393.92, 8,106.24 and 3,203.20

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Solution

The fourth proportional to 5,393.92, 8,106.24 and 3,203.20 is: 4,813.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.92 : 8,106.24 = 3,203.20 : x
  2. Step 2: Convert to fraction form
    5,393.92/8,106.24 = 3,203.20/x
  3. Step 3: Cross multiply
    5,393.92x = 8,106.24 × 3,203.20
  4. Step 4: Simplify right side
    5,393.92x = 25,965,907.97
  5. Step 5: Solve for x
    x = 25,965,907.97/5,393.92
  6. Step 6: Final answer
    x = 4,813.92

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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.