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Finding the Fourth Proportional to 8,389.31, 12,584.07 and 3,644.37

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Solution

The fourth proportional to 8,389.31, 12,584.07 and 3,644.37 is: 5,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.31 : 12,584.07 = 3,644.37 : x
  2. Step 2: Convert to fraction form
    8,389.31/12,584.07 = 3,644.37/x
  3. Step 3: Cross multiply
    8,389.31x = 12,584.07 × 3,644.37
  4. Step 4: Simplify right side
    8,389.31x = 45,861,007.19
  5. Step 5: Solve for x
    x = 45,861,007.19/8,389.31
  6. Step 6: Final answer
    x = 5,466.60

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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.