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Finding the Fourth Proportional to 5,940, 8,199.36 and 4,082.40

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Solution

The fourth proportional to 5,940, 8,199.36 and 4,082.40 is: 5,635.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,199.36 = 4,082.40 : x
  2. Step 2: Convert to fraction form
    5,940/8,199.36 = 4,082.40/x
  3. Step 3: Cross multiply
    5,940x = 8,199.36 × 4,082.40
  4. Step 4: Simplify right side
    5,940x = 33,473,067.26
  5. Step 5: Solve for x
    x = 33,473,067.26/5,940
  6. Step 6: Final answer
    x = 5,635.20

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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.