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Finding the Fourth Proportional to 2,874.68, 3,982.07 and 2,816.36

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Solution

The fourth proportional to 2,874.68, 3,982.07 and 2,816.36 is: 3,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.68 : 3,982.07 = 2,816.36 : x
  2. Step 2: Convert to fraction form
    2,874.68/3,982.07 = 2,816.36/x
  3. Step 3: Cross multiply
    2,874.68x = 3,982.07 × 2,816.36
  4. Step 4: Simplify right side
    2,874.68x = 11,214,942.67
  5. Step 5: Solve for x
    x = 11,214,942.67/2,874.68
  6. Step 6: Final answer
    x = 3,901.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.