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Finding the Fourth Proportional to 3,796.40, 5,694.55 and 3,145.77

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Solution

The fourth proportional to 3,796.40, 5,694.55 and 3,145.77 is: 4,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.40 : 5,694.55 = 3,145.77 : x
  2. Step 2: Convert to fraction form
    3,796.40/5,694.55 = 3,145.77/x
  3. Step 3: Cross multiply
    3,796.40x = 5,694.55 × 3,145.77
  4. Step 4: Simplify right side
    3,796.40x = 17,913,700.35
  5. Step 5: Solve for x
    x = 17,913,700.35/3,796.40
  6. Step 6: Final answer
    x = 4,718.61

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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.