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Finding the Fourth Proportional to 11,650, 17,469.06 and 3,856

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Solution

The fourth proportional to 11,650, 17,469.06 and 3,856 is: 5,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650 : 17,469.06 = 3,856 : x
  2. Step 2: Convert to fraction form
    11,650/17,469.06 = 3,856/x
  3. Step 3: Cross multiply
    11,650x = 17,469.06 × 3,856
  4. Step 4: Simplify right side
    11,650x = 67,360,695.36
  5. Step 5: Solve for x
    x = 67,360,695.36/11,650
  6. Step 6: Final answer
    x = 5,782.03

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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.