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Finding the Fourth Proportional to 8,984.22, 12,396.67 and 5,207.86

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Solution

The fourth proportional to 8,984.22, 12,396.67 and 5,207.86 is: 7,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.22 : 12,396.67 = 5,207.86 : x
  2. Step 2: Convert to fraction form
    8,984.22/12,396.67 = 5,207.86/x
  3. Step 3: Cross multiply
    8,984.22x = 12,396.67 × 5,207.86
  4. Step 4: Simplify right side
    8,984.22x = 64,560,121.83
  5. Step 5: Solve for x
    x = 64,560,121.83/8,984.22
  6. Step 6: Final answer
    x = 7,185.95

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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.