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Finding the Fourth Proportional to 27,313, 40,976 and 8,845

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Solution

The fourth proportional to 27,313, 40,976 and 8,845 is: 13,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313 : 40,976 = 8,845 : x
  2. Step 2: Convert to fraction form
    27,313/40,976 = 8,845/x
  3. Step 3: Cross multiply
    27,313x = 40,976 × 8,845
  4. Step 4: Simplify right side
    27,313x = 362,432,720
  5. Step 5: Solve for x
    x = 362,432,720/27,313
  6. Step 6: Final answer
    x = 13,269.60

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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.