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Finding the Fourth Proportional to 2,161.12, 3,242.36 and 774.42

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Solution

The fourth proportional to 2,161.12, 3,242.36 and 774.42 is: 1,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.12 : 3,242.36 = 774.42 : x
  2. Step 2: Convert to fraction form
    2,161.12/3,242.36 = 774.42/x
  3. Step 3: Cross multiply
    2,161.12x = 3,242.36 × 774.42
  4. Step 4: Simplify right side
    2,161.12x = 2,510,956.45
  5. Step 5: Solve for x
    x = 2,510,956.45/2,161.12
  6. Step 6: Final answer
    x = 1,161.88

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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.