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Finding the Fourth Proportional to 3,849.86, 5,764.52 and 2,455.65

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Solution

The fourth proportional to 3,849.86, 5,764.52 and 2,455.65 is: 3,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.86 : 5,764.52 = 2,455.65 : x
  2. Step 2: Convert to fraction form
    3,849.86/5,764.52 = 2,455.65/x
  3. Step 3: Cross multiply
    3,849.86x = 5,764.52 × 2,455.65
  4. Step 4: Simplify right side
    3,849.86x = 14,155,649.68
  5. Step 5: Solve for x
    x = 14,155,649.68/3,849.86
  6. Step 6: Final answer
    x = 3,676.92

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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.