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Finding the Fourth Proportional to 18,227, 27,351.44 and 7,838.76

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Solution

The fourth proportional to 18,227, 27,351.44 and 7,838.76 is: 11,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227 : 27,351.44 = 7,838.76 : x
  2. Step 2: Convert to fraction form
    18,227/27,351.44 = 7,838.76/x
  3. Step 3: Cross multiply
    18,227x = 27,351.44 × 7,838.76
  4. Step 4: Simplify right side
    18,227x = 214,401,373.81
  5. Step 5: Solve for x
    x = 214,401,373.81/18,227
  6. Step 6: Final answer
    x = 11,762.84

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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.