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Finding the Fourth Proportional to 3,906.69, 5,859.85 and 1,133.30

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Solution

The fourth proportional to 3,906.69, 5,859.85 and 1,133.30 is: 1,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.69 : 5,859.85 = 1,133.30 : x
  2. Step 2: Convert to fraction form
    3,906.69/5,859.85 = 1,133.30/x
  3. Step 3: Cross multiply
    3,906.69x = 5,859.85 × 1,133.30
  4. Step 4: Simplify right side
    3,906.69x = 6,640,968.01
  5. Step 5: Solve for x
    x = 6,640,968.01/3,906.69
  6. Step 6: Final answer
    x = 1,699.90

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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.