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Finding the Fourth Proportional to 13,914.81, 20,825.74 and 8,274.17

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Solution

The fourth proportional to 13,914.81, 20,825.74 and 8,274.17 is: 12,383.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.81 : 20,825.74 = 8,274.17 : x
  2. Step 2: Convert to fraction form
    13,914.81/20,825.74 = 8,274.17/x
  3. Step 3: Cross multiply
    13,914.81x = 20,825.74 × 8,274.17
  4. Step 4: Simplify right side
    13,914.81x = 172,315,811.92
  5. Step 5: Solve for x
    x = 172,315,811.92/13,914.81
  6. Step 6: Final answer
    x = 12,383.63

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1.5x scale

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.