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Finding the Fourth Proportional to 5,424.88, 8,144.04 and 5,399.92

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Solution

The fourth proportional to 5,424.88, 8,144.04 and 5,399.92 is: 8,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.88 : 8,144.04 = 5,399.92 : x
  2. Step 2: Convert to fraction form
    5,424.88/8,144.04 = 5,399.92/x
  3. Step 3: Cross multiply
    5,424.88x = 8,144.04 × 5,399.92
  4. Step 4: Simplify right side
    5,424.88x = 43,977,164.48
  5. Step 5: Solve for x
    x = 43,977,164.48/5,424.88
  6. Step 6: Final answer
    x = 8,106.57

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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.