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Finding the Fourth Proportional to 3,782.31, 5,669.27 and 2,854.86

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Solution

The fourth proportional to 3,782.31, 5,669.27 and 2,854.86 is: 4,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.31 : 5,669.27 = 2,854.86 : x
  2. Step 2: Convert to fraction form
    3,782.31/5,669.27 = 2,854.86/x
  3. Step 3: Cross multiply
    3,782.31x = 5,669.27 × 2,854.86
  4. Step 4: Simplify right side
    3,782.31x = 16,184,957.88
  5. Step 5: Solve for x
    x = 16,184,957.88/3,782.31
  6. Step 6: Final answer
    x = 4,279.12

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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.