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Finding the Fourth Proportional to 11,895, 17,842.50 and 3,687

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Solution

The fourth proportional to 11,895, 17,842.50 and 3,687 is: 5,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895 : 17,842.50 = 3,687 : x
  2. Step 2: Convert to fraction form
    11,895/17,842.50 = 3,687/x
  3. Step 3: Cross multiply
    11,895x = 17,842.50 × 3,687
  4. Step 4: Simplify right side
    11,895x = 65,785,297.50
  5. Step 5: Solve for x
    x = 65,785,297.50/11,895
  6. Step 6: Final answer
    x = 5,530.50

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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.