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Finding the Fourth Proportional to 2,161.37, 3,241.71 and 774.45

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Solution

The fourth proportional to 2,161.37, 3,241.71 and 774.45 is: 1,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.37 : 3,241.71 = 774.45 : x
  2. Step 2: Convert to fraction form
    2,161.37/3,241.71 = 774.45/x
  3. Step 3: Cross multiply
    2,161.37x = 3,241.71 × 774.45
  4. Step 4: Simplify right side
    2,161.37x = 2,510,542.31
  5. Step 5: Solve for x
    x = 2,510,542.31/2,161.37
  6. Step 6: Final answer
    x = 1,161.55

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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.