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Finding the Fourth Proportional to 3,131, 4,684.96 and 2,208.84

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Solution

The fourth proportional to 3,131, 4,684.96 and 2,208.84 is: 3,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,131 : 4,684.96 = 2,208.84 : x
  2. Step 2: Convert to fraction form
    3,131/4,684.96 = 2,208.84/x
  3. Step 3: Cross multiply
    3,131x = 4,684.96 × 2,208.84
  4. Step 4: Simplify right side
    3,131x = 10,348,327.05
  5. Step 5: Solve for x
    x = 10,348,327.05/3,131
  6. Step 6: Final answer
    x = 3,305.12

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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.