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Finding the Fourth Proportional to 18,285, 27,429.66 and 5,973

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Solution

The fourth proportional to 18,285, 27,429.66 and 5,973 is: 8,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285 : 27,429.66 = 5,973 : x
  2. Step 2: Convert to fraction form
    18,285/27,429.66 = 5,973/x
  3. Step 3: Cross multiply
    18,285x = 27,429.66 × 5,973
  4. Step 4: Simplify right side
    18,285x = 163,837,359.18
  5. Step 5: Solve for x
    x = 163,837,359.18/18,285
  6. Step 6: Final answer
    x = 8,960.21

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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.