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Finding the Fourth Proportional to 3,833.30, 5,737.80 and 2,739.80

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Solution

The fourth proportional to 3,833.30, 5,737.80 and 2,739.80 is: 4,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.30 : 5,737.80 = 2,739.80 : x
  2. Step 2: Convert to fraction form
    3,833.30/5,737.80 = 2,739.80/x
  3. Step 3: Cross multiply
    3,833.30x = 5,737.80 × 2,739.80
  4. Step 4: Simplify right side
    3,833.30x = 15,720,424.44
  5. Step 5: Solve for x
    x = 15,720,424.44/3,833.30
  6. Step 6: Final answer
    x = 4,101.02

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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.