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Finding the Fourth Proportional to 11,687.16, 17,530.74 and 3,895.98

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Solution

The fourth proportional to 11,687.16, 17,530.74 and 3,895.98 is: 5,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.16 : 17,530.74 = 3,895.98 : x
  2. Step 2: Convert to fraction form
    11,687.16/17,530.74 = 3,895.98/x
  3. Step 3: Cross multiply
    11,687.16x = 17,530.74 × 3,895.98
  4. Step 4: Simplify right side
    11,687.16x = 68,299,412.43
  5. Step 5: Solve for x
    x = 68,299,412.43/11,687.16
  6. Step 6: Final answer
    x = 5,843.97

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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.