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Finding the Fourth Proportional to 3,893.34, 5,839.92 and 1,296.30

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Solution

The fourth proportional to 3,893.34, 5,839.92 and 1,296.30 is: 1,944.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.34 : 5,839.92 = 1,296.30 : x
  2. Step 2: Convert to fraction form
    3,893.34/5,839.92 = 1,296.30/x
  3. Step 3: Cross multiply
    3,893.34x = 5,839.92 × 1,296.30
  4. Step 4: Simplify right side
    3,893.34x = 7,570,288.30
  5. Step 5: Solve for x
    x = 7,570,288.30/3,893.34
  6. Step 6: Final answer
    x = 1,944.42

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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.