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Finding the Fourth Proportional to 27,108, 40,662 and 8,640

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Solution

The fourth proportional to 27,108, 40,662 and 8,640 is: 12,960

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 40,662 = 8,640 : x
  2. Step 2: Convert to fraction form
    27,108/40,662 = 8,640/x
  3. Step 3: Cross multiply
    27,108x = 40,662 × 8,640
  4. Step 4: Simplify right side
    27,108x = 351,319,680
  5. Step 5: Solve for x
    x = 351,319,680/27,108
  6. Step 6: Final answer
    x = 12,960

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.