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Finding the Fourth Proportional to 18,584.66, 27,878.31 and 7,491.42

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Solution

The fourth proportional to 18,584.66, 27,878.31 and 7,491.42 is: 11,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,584.66 : 27,878.31 = 7,491.42 : x
  2. Step 2: Convert to fraction form
    18,584.66/27,878.31 = 7,491.42/x
  3. Step 3: Cross multiply
    18,584.66x = 27,878.31 × 7,491.42
  4. Step 4: Simplify right side
    18,584.66x = 208,848,129.10
  5. Step 5: Solve for x
    x = 208,848,129.10/18,584.66
  6. Step 6: Final answer
    x = 11,237.66

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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.