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Finding the Fourth Proportional to 2,179.94, 3,264.84 and 1,080.77

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Solution

The fourth proportional to 2,179.94, 3,264.84 and 1,080.77 is: 1,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.94 : 3,264.84 = 1,080.77 : x
  2. Step 2: Convert to fraction form
    2,179.94/3,264.84 = 1,080.77/x
  3. Step 3: Cross multiply
    2,179.94x = 3,264.84 × 1,080.77
  4. Step 4: Simplify right side
    2,179.94x = 3,528,524.80
  5. Step 5: Solve for x
    x = 3,528,524.80/2,179.94
  6. Step 6: Final answer
    x = 1,618.64

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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.