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Finding the Fourth Proportional to 3,782.94, 5,669.16 and 2,857.74

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Solution

The fourth proportional to 3,782.94, 5,669.16 and 2,857.74 is: 4,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.94 : 5,669.16 = 2,857.74 : x
  2. Step 2: Convert to fraction form
    3,782.94/5,669.16 = 2,857.74/x
  3. Step 3: Cross multiply
    3,782.94x = 5,669.16 × 2,857.74
  4. Step 4: Simplify right side
    3,782.94x = 16,200,985.30
  5. Step 5: Solve for x
    x = 16,200,985.30/3,782.94
  6. Step 6: Final answer
    x = 4,282.64

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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.