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Finding the Fourth Proportional to 2,761.55, 3,811.01 and 1,643.09

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Solution

The fourth proportional to 2,761.55, 3,811.01 and 1,643.09 is: 2,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.55 : 3,811.01 = 1,643.09 : x
  2. Step 2: Convert to fraction form
    2,761.55/3,811.01 = 1,643.09/x
  3. Step 3: Cross multiply
    2,761.55x = 3,811.01 × 1,643.09
  4. Step 4: Simplify right side
    2,761.55x = 6,261,832.42
  5. Step 5: Solve for x
    x = 6,261,832.42/2,761.55
  6. Step 6: Final answer
    x = 2,267.51

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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.