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Finding the Fourth Proportional to 27,192, 40,792.32 and 12,400.80

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Solution

The fourth proportional to 27,192, 40,792.32 and 12,400.80 is: 18,603.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,192 : 40,792.32 = 12,400.80 : x
  2. Step 2: Convert to fraction form
    27,192/40,792.32 = 12,400.80/x
  3. Step 3: Cross multiply
    27,192x = 40,792.32 × 12,400.80
  4. Step 4: Simplify right side
    27,192x = 505,857,401.86
  5. Step 5: Solve for x
    x = 505,857,401.86/27,192
  6. Step 6: Final answer
    x = 18,603.17

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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.