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Finding the Fourth Proportional to 18,486, 27,735.48 and 8,098.56

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Solution

The fourth proportional to 18,486, 27,735.48 and 8,098.56 is: 12,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486 : 27,735.48 = 8,098.56 : x
  2. Step 2: Convert to fraction form
    18,486/27,735.48 = 8,098.56/x
  3. Step 3: Cross multiply
    18,486x = 27,735.48 × 8,098.56
  4. Step 4: Simplify right side
    18,486x = 224,617,448.91
  5. Step 5: Solve for x
    x = 224,617,448.91/18,486
  6. Step 6: Final answer
    x = 12,150.68

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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.