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Finding the Fourth Proportional to 3,908.92, 5,862.61 and 1,828.37

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Solution

The fourth proportional to 3,908.92, 5,862.61 and 1,828.37 is: 2,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.92 : 5,862.61 = 1,828.37 : x
  2. Step 2: Convert to fraction form
    3,908.92/5,862.61 = 1,828.37/x
  3. Step 3: Cross multiply
    3,908.92x = 5,862.61 × 1,828.37
  4. Step 4: Simplify right side
    3,908.92x = 10,719,002.02
  5. Step 5: Solve for x
    x = 10,719,002.02/3,908.92
  6. Step 6: Final answer
    x = 2,742.19

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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.