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Finding the Fourth Proportional to 27,589, 41,389.98 and 9,121

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Solution

The fourth proportional to 27,589, 41,389.98 and 9,121 is: 13,683.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589 : 41,389.98 = 9,121 : x
  2. Step 2: Convert to fraction form
    27,589/41,389.98 = 9,121/x
  3. Step 3: Cross multiply
    27,589x = 41,389.98 × 9,121
  4. Step 4: Simplify right side
    27,589x = 377,518,007.58
  5. Step 5: Solve for x
    x = 377,518,007.58/27,589
  6. Step 6: Final answer
    x = 13,683.64

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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.