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Finding the Fourth Proportional to 3,892.79, 5,370.41 and 2,714.54

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Solution

The fourth proportional to 3,892.79, 5,370.41 and 2,714.54 is: 3,744.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.79 : 5,370.41 = 2,714.54 : x
  2. Step 2: Convert to fraction form
    3,892.79/5,370.41 = 2,714.54/x
  3. Step 3: Cross multiply
    3,892.79x = 5,370.41 × 2,714.54
  4. Step 4: Simplify right side
    3,892.79x = 14,578,195.27
  5. Step 5: Solve for x
    x = 14,578,195.27/3,892.79
  6. Step 6: Final answer
    x = 3,744.93

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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.