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Finding the Fourth Proportional to 2,213.80, 3,323.10 and 1,241.80

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Solution

The fourth proportional to 2,213.80, 3,323.10 and 1,241.80 is: 1,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.80 : 3,323.10 = 1,241.80 : x
  2. Step 2: Convert to fraction form
    2,213.80/3,323.10 = 1,241.80/x
  3. Step 3: Cross multiply
    2,213.80x = 3,323.10 × 1,241.80
  4. Step 4: Simplify right side
    2,213.80x = 4,126,625.58
  5. Step 5: Solve for x
    x = 4,126,625.58/2,213.80
  6. Step 6: Final answer
    x = 1,864.05

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1.5x scale

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.