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Finding the Fourth Proportional to 2,759.72, 3,813.87 and 2,261.57

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Solution

The fourth proportional to 2,759.72, 3,813.87 and 2,261.57 is: 3,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.72 : 3,813.87 = 2,261.57 : x
  2. Step 2: Convert to fraction form
    2,759.72/3,813.87 = 2,261.57/x
  3. Step 3: Cross multiply
    2,759.72x = 3,813.87 × 2,261.57
  4. Step 4: Simplify right side
    2,759.72x = 8,625,333.98
  5. Step 5: Solve for x
    x = 8,625,333.98/2,759.72
  6. Step 6: Final answer
    x = 3,125.44

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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.