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Finding the Fourth Proportional to 3,677.98, 5,517.12 and 1,728.82

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Solution

The fourth proportional to 3,677.98, 5,517.12 and 1,728.82 is: 2,593.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.98 : 5,517.12 = 1,728.82 : x
  2. Step 2: Convert to fraction form
    3,677.98/5,517.12 = 1,728.82/x
  3. Step 3: Cross multiply
    3,677.98x = 5,517.12 × 1,728.82
  4. Step 4: Simplify right side
    3,677.98x = 9,538,107.40
  5. Step 5: Solve for x
    x = 9,538,107.40/3,677.98
  6. Step 6: Final answer
    x = 2,593.30

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1.5x scale

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.