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Finding the Fourth Proportional to 2,241.60, 3,363.39 and 781.80

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Solution

The fourth proportional to 2,241.60, 3,363.39 and 781.80 is: 1,173.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.60 : 3,363.39 = 781.80 : x
  2. Step 2: Convert to fraction form
    2,241.60/3,363.39 = 781.80/x
  3. Step 3: Cross multiply
    2,241.60x = 3,363.39 × 781.80
  4. Step 4: Simplify right side
    2,241.60x = 2,629,498.30
  5. Step 5: Solve for x
    x = 2,629,498.30/2,241.60
  6. Step 6: Final answer
    x = 1,173.05

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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.