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Finding the Fourth Proportional to 5,850, 8,073.09 and 3,197.66

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Solution

The fourth proportional to 5,850, 8,073.09 and 3,197.66 is: 4,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850 : 8,073.09 = 3,197.66 : x
  2. Step 2: Convert to fraction form
    5,850/8,073.09 = 3,197.66/x
  3. Step 3: Cross multiply
    5,850x = 8,073.09 × 3,197.66
  4. Step 4: Simplify right side
    5,850x = 25,814,956.60
  5. Step 5: Solve for x
    x = 25,814,956.60/5,850
  6. Step 6: Final answer
    x = 4,412.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.