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Finding the Fourth Proportional to 3,941.83, 5,907.25 and 1,991.76

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Solution

The fourth proportional to 3,941.83, 5,907.25 and 1,991.76 is: 2,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941.83 : 5,907.25 = 1,991.76 : x
  2. Step 2: Convert to fraction form
    3,941.83/5,907.25 = 1,991.76/x
  3. Step 3: Cross multiply
    3,941.83x = 5,907.25 × 1,991.76
  4. Step 4: Simplify right side
    3,941.83x = 11,765,824.26
  5. Step 5: Solve for x
    x = 11,765,824.26/3,941.83
  6. Step 6: Final answer
    x = 2,984.86

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1.5x scale

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.