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Finding the Fourth Proportional to 3,978.92, 5,956.50 and 3,282.32

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Solution

The fourth proportional to 3,978.92, 5,956.50 and 3,282.32 is: 4,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.92 : 5,956.50 = 3,282.32 : x
  2. Step 2: Convert to fraction form
    3,978.92/5,956.50 = 3,282.32/x
  3. Step 3: Cross multiply
    3,978.92x = 5,956.50 × 3,282.32
  4. Step 4: Simplify right side
    3,978.92x = 19,551,139.08
  5. Step 5: Solve for x
    x = 19,551,139.08/3,978.92
  6. Step 6: Final answer
    x = 4,913.68

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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.