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Finding the Fourth Proportional to 3,859.86, 5,784.66 and 2,104.86

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Solution

The fourth proportional to 3,859.86, 5,784.66 and 2,104.86 is: 3,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.86 : 5,784.66 = 2,104.86 : x
  2. Step 2: Convert to fraction form
    3,859.86/5,784.66 = 2,104.86/x
  3. Step 3: Cross multiply
    3,859.86x = 5,784.66 × 2,104.86
  4. Step 4: Simplify right side
    3,859.86x = 12,175,899.45
  5. Step 5: Solve for x
    x = 12,175,899.45/3,859.86
  6. Step 6: Final answer
    x = 3,154.49

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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.