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Finding the Fourth Proportional to 2,161.51, 3,241.95 and 774.64

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Solution

The fourth proportional to 2,161.51, 3,241.95 and 774.64 is: 1,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.51 : 3,241.95 = 774.64 : x
  2. Step 2: Convert to fraction form
    2,161.51/3,241.95 = 774.64/x
  3. Step 3: Cross multiply
    2,161.51x = 3,241.95 × 774.64
  4. Step 4: Simplify right side
    2,161.51x = 2,511,344.15
  5. Step 5: Solve for x
    x = 2,511,344.15/2,161.51
  6. Step 6: Final answer
    x = 1,161.85

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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.