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Finding the Fourth Proportional to 2,274.96, 3,405.96 and 1,729.36

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Solution

The fourth proportional to 2,274.96, 3,405.96 and 1,729.36 is: 2,589.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.96 : 3,405.96 = 1,729.36 : x
  2. Step 2: Convert to fraction form
    2,274.96/3,405.96 = 1,729.36/x
  3. Step 3: Cross multiply
    2,274.96x = 3,405.96 × 1,729.36
  4. Step 4: Simplify right side
    2,274.96x = 5,890,130.99
  5. Step 5: Solve for x
    x = 5,890,130.99/2,274.96
  6. Step 6: Final answer
    x = 2,589.11

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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.