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Finding the Fourth Proportional to 8,389.65, 12,584.92 and 2,149.72

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Solution

The fourth proportional to 8,389.65, 12,584.92 and 2,149.72 is: 3,224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.65 : 12,584.92 = 2,149.72 : x
  2. Step 2: Convert to fraction form
    8,389.65/12,584.92 = 2,149.72/x
  3. Step 3: Cross multiply
    8,389.65x = 12,584.92 × 2,149.72
  4. Step 4: Simplify right side
    8,389.65x = 27,054,054.22
  5. Step 5: Solve for x
    x = 27,054,054.22/8,389.65
  6. Step 6: Final answer
    x = 3,224.69

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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.