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Finding the Fourth Proportional to 8,389.82, 12,585.17 and 2,149.90

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Solution

The fourth proportional to 8,389.82, 12,585.17 and 2,149.90 is: 3,224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.82 : 12,585.17 = 2,149.90 : x
  2. Step 2: Convert to fraction form
    8,389.82/12,585.17 = 2,149.90/x
  3. Step 3: Cross multiply
    8,389.82x = 12,585.17 × 2,149.90
  4. Step 4: Simplify right side
    8,389.82x = 27,056,830.89
  5. Step 5: Solve for x
    x = 27,056,830.89/8,389.82
  6. Step 6: Final answer
    x = 3,224.96

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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.