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Finding the Fourth Proportional to 21,674.50, 29,910.81 and 11,738.50

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Solution

The fourth proportional to 21,674.50, 29,910.81 and 11,738.50 is: 16,199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,674.50 : 29,910.81 = 11,738.50 : x
  2. Step 2: Convert to fraction form
    21,674.50/29,910.81 = 11,738.50/x
  3. Step 3: Cross multiply
    21,674.50x = 29,910.81 × 11,738.50
  4. Step 4: Simplify right side
    21,674.50x = 351,108,043.19
  5. Step 5: Solve for x
    x = 351,108,043.19/21,674.50
  6. Step 6: Final answer
    x = 16,199.13

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1.5x scale

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.