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Finding the Fourth Proportional to 3,942.92, 5,914.38 and 1,345.88

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Solution

The fourth proportional to 3,942.92, 5,914.38 and 1,345.88 is: 2,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.92 : 5,914.38 = 1,345.88 : x
  2. Step 2: Convert to fraction form
    3,942.92/5,914.38 = 1,345.88/x
  3. Step 3: Cross multiply
    3,942.92x = 5,914.38 × 1,345.88
  4. Step 4: Simplify right side
    3,942.92x = 7,960,045.75
  5. Step 5: Solve for x
    x = 7,960,045.75/3,942.92
  6. Step 6: Final answer
    x = 2,018.82

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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.