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Finding the Fourth Proportional to 2,628.86, 3,942.81 and 1,640.12

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Solution

The fourth proportional to 2,628.86, 3,942.81 and 1,640.12 is: 2,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.86 : 3,942.81 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    2,628.86/3,942.81 = 1,640.12/x
  3. Step 3: Cross multiply
    2,628.86x = 3,942.81 × 1,640.12
  4. Step 4: Simplify right side
    2,628.86x = 6,466,661.82
  5. Step 5: Solve for x
    x = 6,466,661.82/2,628.86
  6. Step 6: Final answer
    x = 2,459.88

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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.