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Finding the Fourth Proportional to 2,167.44, 3,249.54 and 868.20

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Solution

The fourth proportional to 2,167.44, 3,249.54 and 868.20 is: 1,301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.44 : 3,249.54 = 868.20 : x
  2. Step 2: Convert to fraction form
    2,167.44/3,249.54 = 868.20/x
  3. Step 3: Cross multiply
    2,167.44x = 3,249.54 × 868.20
  4. Step 4: Simplify right side
    2,167.44x = 2,821,250.63
  5. Step 5: Solve for x
    x = 2,821,250.63/2,167.44
  6. Step 6: Final answer
    x = 1,301.65

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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.