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Finding the Fourth Proportional to 18,233.28, 27,319.92 and 7,694.64

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Solution

The fourth proportional to 18,233.28, 27,319.92 and 7,694.64 is: 11,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,233.28 : 27,319.92 = 7,694.64 : x
  2. Step 2: Convert to fraction form
    18,233.28/27,319.92 = 7,694.64/x
  3. Step 3: Cross multiply
    18,233.28x = 27,319.92 × 7,694.64
  4. Step 4: Simplify right side
    18,233.28x = 210,216,949.23
  5. Step 5: Solve for x
    x = 210,216,949.23/18,233.28
  6. Step 6: Final answer
    x = 11,529.30

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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.