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Finding the Fourth Proportional to 2,089.97, 3,132.52 and 855.88

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Solution

The fourth proportional to 2,089.97, 3,132.52 and 855.88 is: 1,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.97 : 3,132.52 = 855.88 : x
  2. Step 2: Convert to fraction form
    2,089.97/3,132.52 = 855.88/x
  3. Step 3: Cross multiply
    2,089.97x = 3,132.52 × 855.88
  4. Step 4: Simplify right side
    2,089.97x = 2,681,073.68
  5. Step 5: Solve for x
    x = 2,681,073.68/2,089.97
  6. Step 6: Final answer
    x = 1,282.83

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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.