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Finding the Fourth Proportional to 3,322.42, 4,983.92 and 1,677.90

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Solution

The fourth proportional to 3,322.42, 4,983.92 and 1,677.90 is: 2,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.42 : 4,983.92 = 1,677.90 : x
  2. Step 2: Convert to fraction form
    3,322.42/4,983.92 = 1,677.90/x
  3. Step 3: Cross multiply
    3,322.42x = 4,983.92 × 1,677.90
  4. Step 4: Simplify right side
    3,322.42x = 8,362,519.37
  5. Step 5: Solve for x
    x = 8,362,519.37/3,322.42
  6. Step 6: Final answer
    x = 2,517.00

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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.