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Finding the Fourth Proportional to 3,859.22, 5,782.75 and 2,983.86

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Solution

The fourth proportional to 3,859.22, 5,782.75 and 2,983.86 is: 4,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.22 : 5,782.75 = 2,983.86 : x
  2. Step 2: Convert to fraction form
    3,859.22/5,782.75 = 2,983.86/x
  3. Step 3: Cross multiply
    3,859.22x = 5,782.75 × 2,983.86
  4. Step 4: Simplify right side
    3,859.22x = 17,254,916.42
  5. Step 5: Solve for x
    x = 17,254,916.42/3,859.22
  6. Step 6: Final answer
    x = 4,471.09

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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.