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Finding the Fourth Proportional to 21,571.76, 29,770 and 12,140.94

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Solution

The fourth proportional to 21,571.76, 29,770 and 12,140.94 is: 16,755.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.76 : 29,770 = 12,140.94 : x
  2. Step 2: Convert to fraction form
    21,571.76/29,770 = 12,140.94/x
  3. Step 3: Cross multiply
    21,571.76x = 29,770 × 12,140.94
  4. Step 4: Simplify right side
    21,571.76x = 361,435,783.80
  5. Step 5: Solve for x
    x = 361,435,783.80/21,571.76
  6. Step 6: Final answer
    x = 16,755.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.