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Finding the Fourth Proportional to 11,000, 16,495.97 and 3,978.33

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Solution

The fourth proportional to 11,000, 16,495.97 and 3,978.33 is: 5,966.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000 : 16,495.97 = 3,978.33 : x
  2. Step 2: Convert to fraction form
    11,000/16,495.97 = 3,978.33/x
  3. Step 3: Cross multiply
    11,000x = 16,495.97 × 3,978.33
  4. Step 4: Simplify right side
    11,000x = 65,626,412.33
  5. Step 5: Solve for x
    x = 65,626,412.33/11,000
  6. Step 6: Final answer
    x = 5,966.04

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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.