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Finding the Fourth Proportional to 3,859.28, 5,782.83 and 2,983.92

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Solution

The fourth proportional to 3,859.28, 5,782.83 and 2,983.92 is: 4,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.28 : 5,782.83 = 2,983.92 : x
  2. Step 2: Convert to fraction form
    3,859.28/5,782.83 = 2,983.92/x
  3. Step 3: Cross multiply
    3,859.28x = 5,782.83 × 2,983.92
  4. Step 4: Simplify right side
    3,859.28x = 17,255,502.09
  5. Step 5: Solve for x
    x = 17,255,502.09/3,859.28
  6. Step 6: Final answer
    x = 4,471.18

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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.