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Finding the Fourth Proportional to 2,781.83, 4,173.43 and 834.03

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Solution

The fourth proportional to 2,781.83, 4,173.43 and 834.03 is: 1,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.83 : 4,173.43 = 834.03 : x
  2. Step 2: Convert to fraction form
    2,781.83/4,173.43 = 834.03/x
  3. Step 3: Cross multiply
    2,781.83x = 4,173.43 × 834.03
  4. Step 4: Simplify right side
    2,781.83x = 3,480,765.82
  5. Step 5: Solve for x
    x = 3,480,765.82/2,781.83
  6. Step 6: Final answer
    x = 1,251.25

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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.