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Finding the Fourth Proportional to 3,847.79, 5,309.95 and 2,169.61

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Solution

The fourth proportional to 3,847.79, 5,309.95 and 2,169.61 is: 2,994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.79 : 5,309.95 = 2,169.61 : x
  2. Step 2: Convert to fraction form
    3,847.79/5,309.95 = 2,169.61/x
  3. Step 3: Cross multiply
    3,847.79x = 5,309.95 × 2,169.61
  4. Step 4: Simplify right side
    3,847.79x = 11,520,520.62
  5. Step 5: Solve for x
    x = 11,520,520.62/3,847.79
  6. Step 6: Final answer
    x = 2,994.06

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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.