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Finding the Fourth Proportional to 2,843.98, 3,924.93 and 1,781.80

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Solution

The fourth proportional to 2,843.98, 3,924.93 and 1,781.80 is: 2,459.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.98 : 3,924.93 = 1,781.80 : x
  2. Step 2: Convert to fraction form
    2,843.98/3,924.93 = 1,781.80/x
  3. Step 3: Cross multiply
    2,843.98x = 3,924.93 × 1,781.80
  4. Step 4: Simplify right side
    2,843.98x = 6,993,440.27
  5. Step 5: Solve for x
    x = 6,993,440.27/2,843.98
  6. Step 6: Final answer
    x = 2,459.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.