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Finding the Fourth Proportional to 11,487, 17,229.42 and 4,091.16

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Solution

The fourth proportional to 11,487, 17,229.42 and 4,091.16 is: 6,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487 : 17,229.42 = 4,091.16 : x
  2. Step 2: Convert to fraction form
    11,487/17,229.42 = 4,091.16/x
  3. Step 3: Cross multiply
    11,487x = 17,229.42 × 4,091.16
  4. Step 4: Simplify right side
    11,487x = 70,488,313.93
  5. Step 5: Solve for x
    x = 70,488,313.93/11,487
  6. Step 6: Final answer
    x = 6,136.36

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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.