Home / 3,871.14-5,342.13-2,102.78

Finding the Fourth Proportional to 3,871.14, 5,342.13 and 2,102.78

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Solution

The fourth proportional to 3,871.14, 5,342.13 and 2,102.78 is: 2,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.14 : 5,342.13 = 2,102.78 : x
  2. Step 2: Convert to fraction form
    3,871.14/5,342.13 = 2,102.78/x
  3. Step 3: Cross multiply
    3,871.14x = 5,342.13 × 2,102.78
  4. Step 4: Simplify right side
    3,871.14x = 11,233,297.41
  5. Step 5: Solve for x
    x = 11,233,297.41/3,871.14
  6. Step 6: Final answer
    x = 2,901.81

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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.