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Finding the Fourth Proportional to 1,787.80, 2,680.26 and 1,643.80

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Solution

The fourth proportional to 1,787.80, 2,680.26 and 1,643.80 is: 2,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.80 : 2,680.26 = 1,643.80 : x
  2. Step 2: Convert to fraction form
    1,787.80/2,680.26 = 1,643.80/x
  3. Step 3: Cross multiply
    1,787.80x = 2,680.26 × 1,643.80
  4. Step 4: Simplify right side
    1,787.80x = 4,405,811.39
  5. Step 5: Solve for x
    x = 4,405,811.39/1,787.80
  6. Step 6: Final answer
    x = 2,464.38

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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.