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Finding the Fourth Proportional to 3,321.86, 4,584.17 and 1,829.78

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Solution

The fourth proportional to 3,321.86, 4,584.17 and 1,829.78 is: 2,525.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.86 : 4,584.17 = 1,829.78 : x
  2. Step 2: Convert to fraction form
    3,321.86/4,584.17 = 1,829.78/x
  3. Step 3: Cross multiply
    3,321.86x = 4,584.17 × 1,829.78
  4. Step 4: Simplify right side
    3,321.86x = 8,387,999.66
  5. Step 5: Solve for x
    x = 8,387,999.66/3,321.86
  6. Step 6: Final answer
    x = 2,525.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.