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Finding the Fourth Proportional to 5,601.92, 8,396.40 and 3,956

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Solution

The fourth proportional to 5,601.92, 8,396.40 and 3,956 is: 5,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.92 : 8,396.40 = 3,956 : x
  2. Step 2: Convert to fraction form
    5,601.92/8,396.40 = 3,956/x
  3. Step 3: Cross multiply
    5,601.92x = 8,396.40 × 3,956
  4. Step 4: Simplify right side
    5,601.92x = 33,216,158.40
  5. Step 5: Solve for x
    x = 33,216,158.40/5,601.92
  6. Step 6: Final answer
    x = 5,929.42

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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.