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Finding the Fourth Proportional to 2,757.96, 3,811.44 and 2,259.80

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Solution

The fourth proportional to 2,757.96, 3,811.44 and 2,259.80 is: 3,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.96 : 3,811.44 = 2,259.80 : x
  2. Step 2: Convert to fraction form
    2,757.96/3,811.44 = 2,259.80/x
  3. Step 3: Cross multiply
    2,757.96x = 3,811.44 × 2,259.80
  4. Step 4: Simplify right side
    2,757.96x = 8,613,092.11
  5. Step 5: Solve for x
    x = 8,613,092.11/2,757.96
  6. Step 6: Final answer
    x = 3,122.99

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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.