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Finding the Fourth Proportional to 3,859.98, 5,790 and 2,139.54

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Solution

The fourth proportional to 3,859.98, 5,790 and 2,139.54 is: 3,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.98 : 5,790 = 2,139.54 : x
  2. Step 2: Convert to fraction form
    3,859.98/5,790 = 2,139.54/x
  3. Step 3: Cross multiply
    3,859.98x = 5,790 × 2,139.54
  4. Step 4: Simplify right side
    3,859.98x = 12,387,936.60
  5. Step 5: Solve for x
    x = 12,387,936.60/3,859.98
  6. Step 6: Final answer
    x = 3,209.33

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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.