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Finding the Fourth Proportional to 3,942.86, 5,913.38 and 1,168.86

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Solution

The fourth proportional to 3,942.86, 5,913.38 and 1,168.86 is: 1,753.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.86 : 5,913.38 = 1,168.86 : x
  2. Step 2: Convert to fraction form
    3,942.86/5,913.38 = 1,168.86/x
  3. Step 3: Cross multiply
    3,942.86x = 5,913.38 × 1,168.86
  4. Step 4: Simplify right side
    3,942.86x = 6,911,920.78
  5. Step 5: Solve for x
    x = 6,911,920.78/3,942.86
  6. Step 6: Final answer
    x = 1,753.02

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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.