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Finding the Fourth Proportional to 18,247.68, 27,366.12 and 7,857

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Solution

The fourth proportional to 18,247.68, 27,366.12 and 7,857 is: 11,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,247.68 : 27,366.12 = 7,857 : x
  2. Step 2: Convert to fraction form
    18,247.68/27,366.12 = 7,857/x
  3. Step 3: Cross multiply
    18,247.68x = 27,366.12 × 7,857
  4. Step 4: Simplify right side
    18,247.68x = 215,015,604.84
  5. Step 5: Solve for x
    x = 215,015,604.84/18,247.68
  6. Step 6: Final answer
    x = 11,783.17

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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.