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Finding the Fourth Proportional to 8,322.40, 12,469.20 and 5,399.20

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Solution

The fourth proportional to 8,322.40, 12,469.20 and 5,399.20 is: 8,089.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.40 : 12,469.20 = 5,399.20 : x
  2. Step 2: Convert to fraction form
    8,322.40/12,469.20 = 5,399.20/x
  3. Step 3: Cross multiply
    8,322.40x = 12,469.20 × 5,399.20
  4. Step 4: Simplify right side
    8,322.40x = 67,323,704.64
  5. Step 5: Solve for x
    x = 67,323,704.64/8,322.40
  6. Step 6: Final answer
    x = 8,089.46

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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.