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Finding the Fourth Proportional to 3,951.92, 5,928.98 and 1,178.57

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Solution

The fourth proportional to 3,951.92, 5,928.98 and 1,178.57 is: 1,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.92 : 5,928.98 = 1,178.57 : x
  2. Step 2: Convert to fraction form
    3,951.92/5,928.98 = 1,178.57/x
  3. Step 3: Cross multiply
    3,951.92x = 5,928.98 × 1,178.57
  4. Step 4: Simplify right side
    3,951.92x = 6,987,682.42
  5. Step 5: Solve for x
    x = 6,987,682.42/3,951.92
  6. Step 6: Final answer
    x = 1,768.18

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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.