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Finding the Fourth Proportional to 18,199.71, 27,288.36 and 8,342.01

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Solution

The fourth proportional to 18,199.71, 27,288.36 and 8,342.01 is: 12,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,199.71 : 27,288.36 = 8,342.01 : x
  2. Step 2: Convert to fraction form
    18,199.71/27,288.36 = 8,342.01/x
  3. Step 3: Cross multiply
    18,199.71x = 27,288.36 × 8,342.01
  4. Step 4: Simplify right side
    18,199.71x = 227,639,772.00
  5. Step 5: Solve for x
    x = 227,639,772.00/18,199.71
  6. Step 6: Final answer
    x = 12,507.88

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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.