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Finding the Fourth Proportional to 5,797.38, 8,000.40 and 3,144.80

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Solution

The fourth proportional to 5,797.38, 8,000.40 and 3,144.80 is: 4,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.38 : 8,000.40 = 3,144.80 : x
  2. Step 2: Convert to fraction form
    5,797.38/8,000.40 = 3,144.80/x
  3. Step 3: Cross multiply
    5,797.38x = 8,000.40 × 3,144.80
  4. Step 4: Simplify right side
    5,797.38x = 25,159,617.92
  5. Step 5: Solve for x
    x = 25,159,617.92/5,797.38
  6. Step 6: Final answer
    x = 4,339.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.