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Finding the Fourth Proportional to 8,389.85, 12,584.57 and 2,149.74

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Solution

The fourth proportional to 8,389.85, 12,584.57 and 2,149.74 is: 3,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.85 : 12,584.57 = 2,149.74 : x
  2. Step 2: Convert to fraction form
    8,389.85/12,584.57 = 2,149.74/x
  3. Step 3: Cross multiply
    8,389.85x = 12,584.57 × 2,149.74
  4. Step 4: Simplify right side
    8,389.85x = 27,053,542.76
  5. Step 5: Solve for x
    x = 27,053,542.76/8,389.85
  6. Step 6: Final answer
    x = 3,224.56

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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.