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Finding the Fourth Proportional to 8,270.91, 12,419.73 and 5,464.26

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Solution

The fourth proportional to 8,270.91, 12,419.73 and 5,464.26 is: 8,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.91 : 12,419.73 = 5,464.26 : x
  2. Step 2: Convert to fraction form
    8,270.91/12,419.73 = 5,464.26/x
  3. Step 3: Cross multiply
    8,270.91x = 12,419.73 × 5,464.26
  4. Step 4: Simplify right side
    8,270.91x = 67,864,633.85
  5. Step 5: Solve for x
    x = 67,864,633.85/8,270.91
  6. Step 6: Final answer
    x = 8,205.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.