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Finding the Fourth Proportional to 3,812.92, 5,262.32 and 2,134.42

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Solution

The fourth proportional to 3,812.92, 5,262.32 and 2,134.42 is: 2,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.92 : 5,262.32 = 2,134.42 : x
  2. Step 2: Convert to fraction form
    3,812.92/5,262.32 = 2,134.42/x
  3. Step 3: Cross multiply
    3,812.92x = 5,262.32 × 2,134.42
  4. Step 4: Simplify right side
    3,812.92x = 11,232,001.05
  5. Step 5: Solve for x
    x = 11,232,001.05/3,812.92
  6. Step 6: Final answer
    x = 2,945.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.